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Finding the Fourth Proportional to 457,507.82, 686,353.53 and 157,999.38

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Solution

The fourth proportional to 457,507.82, 686,353.53 and 157,999.38 is: 237,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,507.82 : 686,353.53 = 157,999.38 : x
  2. Step 2: Convert to fraction form
    457,507.82/686,353.53 = 157,999.38/x
  3. Step 3: Cross multiply
    457,507.82x = 686,353.53 × 157,999.38
  4. Step 4: Simplify right side
    457,507.82x = 108,443,432,200.81
  5. Step 5: Solve for x
    x = 108,443,432,200.81/457,507.82
  6. Step 6: Final answer
    x = 237,030.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.