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Finding the Fourth Proportional to 461,064.92, 636,272.31 and 257,128.72

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Solution

The fourth proportional to 461,064.92, 636,272.31 and 257,128.72 is: 354,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,064.92 : 636,272.31 = 257,128.72 : x
  2. Step 2: Convert to fraction form
    461,064.92/636,272.31 = 257,128.72/x
  3. Step 3: Cross multiply
    461,064.92x = 636,272.31 × 257,128.72
  4. Step 4: Simplify right side
    461,064.92x = 163,603,884,015.30
  5. Step 5: Solve for x
    x = 163,603,884,015.30/461,064.92
  6. Step 6: Final answer
    x = 354,839.15

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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.