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Finding the Fourth Proportional to 461,473.60, 636,878.16 and 280,143.52

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Solution

The fourth proportional to 461,473.60, 636,878.16 and 280,143.52 is: 386,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,473.60 : 636,878.16 = 280,143.52 : x
  2. Step 2: Convert to fraction form
    461,473.60/636,878.16 = 280,143.52/x
  3. Step 3: Cross multiply
    461,473.60x = 636,878.16 × 280,143.52
  4. Step 4: Simplify right side
    461,473.60x = 178,417,289,553.52
  5. Step 5: Solve for x
    x = 178,417,289,553.52/461,473.60
  6. Step 6: Final answer
    x = 386,625.13

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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.