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Finding the Fourth Proportional to 461,333.47, 636,640.28 and 260,129.47

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Solution

The fourth proportional to 461,333.47, 636,640.28 and 260,129.47 is: 358,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,333.47 : 636,640.28 = 260,129.47 : x
  2. Step 2: Convert to fraction form
    461,333.47/636,640.28 = 260,129.47/x
  3. Step 3: Cross multiply
    461,333.47x = 636,640.28 × 260,129.47
  4. Step 4: Simplify right side
    461,333.47x = 165,608,898,617.05
  5. Step 5: Solve for x
    x = 165,608,898,617.05/461,333.47
  6. Step 6: Final answer
    x = 358,978.72

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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.