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Finding the Fourth Proportional to 521,715.24, 782,685.08 and 161,878.88

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Solution

The fourth proportional to 521,715.24, 782,685.08 and 161,878.88 is: 242,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,715.24 : 782,685.08 = 161,878.88 : x
  2. Step 2: Convert to fraction form
    521,715.24/782,685.08 = 161,878.88/x
  3. Step 3: Cross multiply
    521,715.24x = 782,685.08 × 161,878.88
  4. Step 4: Simplify right side
    521,715.24x = 126,700,179,420.29
  5. Step 5: Solve for x
    x = 126,700,179,420.29/521,715.24
  6. Step 6: Final answer
    x = 242,853.13

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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.