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Finding the Fourth Proportional to 457,362.18, 686,115.99 and 141,753.78

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Solution

The fourth proportional to 457,362.18, 686,115.99 and 141,753.78 is: 212,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,362.18 : 686,115.99 = 141,753.78 : x
  2. Step 2: Convert to fraction form
    457,362.18/686,115.99 = 141,753.78/x
  3. Step 3: Cross multiply
    457,362.18x = 686,115.99 × 141,753.78
  4. Step 4: Simplify right side
    457,362.18x = 97,259,535,100.94
  5. Step 5: Solve for x
    x = 97,259,535,100.94/457,362.18
  6. Step 6: Final answer
    x = 212,653.21

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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.