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Finding the Fourth Proportional to 461,391.13, 636,721.52 and 257,450.64

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Solution

The fourth proportional to 461,391.13, 636,721.52 and 257,450.64 is: 355,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,391.13 : 636,721.52 = 257,450.64 : x
  2. Step 2: Convert to fraction form
    461,391.13/636,721.52 = 257,450.64/x
  3. Step 3: Cross multiply
    461,391.13x = 636,721.52 × 257,450.64
  4. Step 4: Simplify right side
    461,391.13x = 163,924,363,926.23
  5. Step 5: Solve for x
    x = 163,924,363,926.23/461,391.13
  6. Step 6: Final answer
    x = 355,282.87

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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.