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Finding the Fourth Proportional to 542,672.84, 813,996.56 and 143,341.50

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Solution

The fourth proportional to 542,672.84, 813,996.56 and 143,341.50 is: 215,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,672.84 : 813,996.56 = 143,341.50 : x
  2. Step 2: Convert to fraction form
    542,672.84/813,996.56 = 143,341.50/x
  3. Step 3: Cross multiply
    542,672.84x = 813,996.56 × 143,341.50
  4. Step 4: Simplify right side
    542,672.84x = 116,679,487,905.24
  5. Step 5: Solve for x
    x = 116,679,487,905.24/542,672.84
  6. Step 6: Final answer
    x = 215,008.90

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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.