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Finding the Fourth Proportional to 457,712.70, 631,663.52 and 253,750.65

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Solution

The fourth proportional to 457,712.70, 631,663.52 and 253,750.65 is: 350,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,712.70 : 631,663.52 = 253,750.65 : x
  2. Step 2: Convert to fraction form
    457,712.70/631,663.52 = 253,750.65/x
  3. Step 3: Cross multiply
    457,712.70x = 631,663.52 × 253,750.65
  4. Step 4: Simplify right side
    457,712.70x = 160,285,028,781.29
  5. Step 5: Solve for x
    x = 160,285,028,781.29/457,712.70
  6. Step 6: Final answer
    x = 350,186.98

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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.