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Finding the Fourth Proportional to 457,695.86, 631,657.70 and 253,810.71

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Solution

The fourth proportional to 457,695.86, 631,657.70 and 253,810.71 is: 350,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695.86 : 631,657.70 = 253,810.71 : x
  2. Step 2: Convert to fraction form
    457,695.86/631,657.70 = 253,810.71/x
  3. Step 3: Cross multiply
    457,695.86x = 631,657.70 × 253,810.71
  4. Step 4: Simplify right side
    457,695.86x = 160,321,488,044.91
  5. Step 5: Solve for x
    x = 160,321,488,044.91/457,695.86
  6. Step 6: Final answer
    x = 350,279.53

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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.