Home / 468,407,011,184.85-646,163,780,023.83-305,921,768,478.10

Finding the Fourth Proportional to 468,407,011,184.85, 646,163,780,023.83 and 305,921,768,478.10

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Solution

The fourth proportional to 468,407,011,184.85, 646,163,780,023.83 and 305,921,768,478.10 is: 422,016,668,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407,011,184.85 : 646,163,780,023.83 = 305,921,768,478.10 : x
  2. Step 2: Convert to fraction form
    468,407,011,184.85/646,163,780,023.83 = 305,921,768,478.10/x
  3. Step 3: Cross multiply
    468,407,011,184.85x = 646,163,780,023.83 × 305,921,768,478.10
  4. Step 4: Simplify right side
    468,407,011,184.85x = 197,675,566,311,384,044,011,520
  5. Step 5: Solve for x
    x = 197,675,566,311,384,044,011,520/468,407,011,184.85
  6. Step 6: Final answer
    x = 422,016,668,391.36

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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.