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Finding the Fourth Proportional to 521,711.86, 782,680.01 and 161,875.50

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Solution

The fourth proportional to 521,711.86, 782,680.01 and 161,875.50 is: 242,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,711.86 : 782,680.01 = 161,875.50 : x
  2. Step 2: Convert to fraction form
    521,711.86/782,680.01 = 161,875.50/x
  3. Step 3: Cross multiply
    521,711.86x = 782,680.01 × 161,875.50
  4. Step 4: Simplify right side
    521,711.86x = 126,696,717,149.38
  5. Step 5: Solve for x
    x = 126,696,717,149.38/521,711.86
  6. Step 6: Final answer
    x = 242,848.07

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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.