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Finding the Fourth Proportional to 521,402.62, 782,399.82 and 281,513.34

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Solution

The fourth proportional to 521,402.62, 782,399.82 and 281,513.34 is: 422,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,402.62 : 782,399.82 = 281,513.34 : x
  2. Step 2: Convert to fraction form
    521,402.62/782,399.82 = 281,513.34/x
  3. Step 3: Cross multiply
    521,402.62x = 782,399.82 × 281,513.34
  4. Step 4: Simplify right side
    521,402.62x = 220,255,986,543.60
  5. Step 5: Solve for x
    x = 220,255,986,543.60/521,402.62
  6. Step 6: Final answer
    x = 422,429.77

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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.