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Finding the Fourth Proportional to 457,760.69, 631,775.13 and 253,856.96

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Solution

The fourth proportional to 457,760.69, 631,775.13 and 253,856.96 is: 350,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,760.69 : 631,775.13 = 253,856.96 : x
  2. Step 2: Convert to fraction form
    457,760.69/631,775.13 = 253,856.96/x
  3. Step 3: Cross multiply
    457,760.69x = 631,775.13 × 253,856.96
  4. Step 4: Simplify right side
    457,760.69x = 160,380,513,905.41
  5. Step 5: Solve for x
    x = 160,380,513,905.41/457,760.69
  6. Step 6: Final answer
    x = 350,358.86

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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.