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Finding the Fourth Proportional to 457,980.28, 686,972.18 and 191,553.90

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Solution

The fourth proportional to 457,980.28, 686,972.18 and 191,553.90 is: 287,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,980.28 : 686,972.18 = 191,553.90 : x
  2. Step 2: Convert to fraction form
    457,980.28/686,972.18 = 191,553.90/x
  3. Step 3: Cross multiply
    457,980.28x = 686,972.18 × 191,553.90
  4. Step 4: Simplify right side
    457,980.28x = 131,592,200,270.50
  5. Step 5: Solve for x
    x = 131,592,200,270.50/457,980.28
  6. Step 6: Final answer
    x = 287,331.59

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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.