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Finding the Fourth Proportional to 521,353.13, 782,114.06 and 161,439.39

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Solution

The fourth proportional to 521,353.13, 782,114.06 and 161,439.39 is: 242,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,353.13 : 782,114.06 = 161,439.39 : x
  2. Step 2: Convert to fraction form
    521,353.13/782,114.06 = 161,439.39/x
  3. Step 3: Cross multiply
    521,353.13x = 782,114.06 × 161,439.39
  4. Step 4: Simplify right side
    521,353.13x = 126,264,017,160.42
  5. Step 5: Solve for x
    x = 126,264,017,160.42/521,353.13
  6. Step 6: Final answer
    x = 242,185.21

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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.