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Finding the Fourth Proportional to 385,280.10, 577,920.15 and 278,991.90

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Solution

The fourth proportional to 385,280.10, 577,920.15 and 278,991.90 is: 418,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,280.10 : 577,920.15 = 278,991.90 : x
  2. Step 2: Convert to fraction form
    385,280.10/577,920.15 = 278,991.90/x
  3. Step 3: Cross multiply
    385,280.10x = 577,920.15 × 278,991.90
  4. Step 4: Simplify right side
    385,280.10x = 161,235,040,696.79
  5. Step 5: Solve for x
    x = 161,235,040,696.79/385,280.10
  6. Step 6: Final answer
    x = 418,487.85

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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.