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Finding the Fourth Proportional to 513,241.92, 769,988.33 and 361,734.46

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Solution

The fourth proportional to 513,241.92, 769,988.33 and 361,734.46 is: 542,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,241.92 : 769,988.33 = 361,734.46 : x
  2. Step 2: Convert to fraction form
    513,241.92/769,988.33 = 361,734.46/x
  3. Step 3: Cross multiply
    513,241.92x = 769,988.33 × 361,734.46
  4. Step 4: Simplify right side
    513,241.92x = 278,531,310,381.71
  5. Step 5: Solve for x
    x = 278,531,310,381.71/513,241.92
  6. Step 6: Final answer
    x = 542,690.10

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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.