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Finding the Fourth Proportional to 461,078.65, 636,287.31 and 257,129.81

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Solution

The fourth proportional to 461,078.65, 636,287.31 and 257,129.81 is: 354,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,078.65 : 636,287.31 = 257,129.81 : x
  2. Step 2: Convert to fraction form
    461,078.65/636,287.31 = 257,129.81/x
  3. Step 3: Cross multiply
    461,078.65x = 636,287.31 × 257,129.81
  4. Step 4: Simplify right side
    461,078.65x = 163,608,433,607.17
  5. Step 5: Solve for x
    x = 163,608,433,607.17/461,078.65
  6. Step 6: Final answer
    x = 354,838.45

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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.