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Finding the Fourth Proportional to 521,892.48, 782,877.12 and 162,016.16

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Solution

The fourth proportional to 521,892.48, 782,877.12 and 162,016.16 is: 243,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,892.48 : 782,877.12 = 162,016.16 : x
  2. Step 2: Convert to fraction form
    521,892.48/782,877.12 = 162,016.16/x
  3. Step 3: Cross multiply
    521,892.48x = 782,877.12 × 162,016.16
  4. Step 4: Simplify right side
    521,892.48x = 126,838,744,734.26
  5. Step 5: Solve for x
    x = 126,838,744,734.26/521,892.48
  6. Step 6: Final answer
    x = 243,036.16

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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.