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Finding the Fourth Proportional to 468,121, 646,023.60 and 264,221.56

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Solution

The fourth proportional to 468,121, 646,023.60 and 264,221.56 is: 364,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,121 : 646,023.60 = 264,221.56 : x
  2. Step 2: Convert to fraction form
    468,121/646,023.60 = 264,221.56/x
  3. Step 3: Cross multiply
    468,121x = 646,023.60 × 264,221.56
  4. Step 4: Simplify right side
    468,121x = 170,693,363,388.82
  5. Step 5: Solve for x
    x = 170,693,363,388.82/468,121
  6. Step 6: Final answer
    x = 364,635.13

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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.