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Finding the Fourth Proportional to 866,494.12, 1,299,763.50 and 410,978.92

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Solution

The fourth proportional to 866,494.12, 1,299,763.50 and 410,978.92 is: 616,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,494.12 : 1,299,763.50 = 410,978.92 : x
  2. Step 2: Convert to fraction form
    866,494.12/1,299,763.50 = 410,978.92/x
  3. Step 3: Cross multiply
    866,494.12x = 1,299,763.50 × 410,978.92
  4. Step 4: Simplify right side
    866,494.12x = 534,175,399,485.42
  5. Step 5: Solve for x
    x = 534,175,399,485.42/866,494.12
  6. Step 6: Final answer
    x = 616,478.97

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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.