Home / 468,407,011,184.92-646,163,780,023.90-305,921,768,478.19

Finding the Fourth Proportional to 468,407,011,184.92, 646,163,780,023.90 and 305,921,768,478.19

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Solution

The fourth proportional to 468,407,011,184.92, 646,163,780,023.90 and 305,921,768,478.19 is: 422,016,668,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407,011,184.92 : 646,163,780,023.90 = 305,921,768,478.19 : x
  2. Step 2: Convert to fraction form
    468,407,011,184.92/646,163,780,023.90 = 305,921,768,478.19/x
  3. Step 3: Cross multiply
    468,407,011,184.92x = 646,163,780,023.90 × 305,921,768,478.19
  4. Step 4: Simplify right side
    468,407,011,184.92x = 197,675,566,311,463,635,124,224
  5. Step 5: Solve for x
    x = 197,675,566,311,463,635,124,224/468,407,011,184.92
  6. Step 6: Final answer
    x = 422,016,668,391.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.