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Finding the Fourth Proportional to 356,584.50, 534,877.34 and 90,344.78

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Solution

The fourth proportional to 356,584.50, 534,877.34 and 90,344.78 is: 135,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,584.50 : 534,877.34 = 90,344.78 : x
  2. Step 2: Convert to fraction form
    356,584.50/534,877.34 = 90,344.78/x
  3. Step 3: Cross multiply
    356,584.50x = 534,877.34 × 90,344.78
  4. Step 4: Simplify right side
    356,584.50x = 48,323,375,609.29
  5. Step 5: Solve for x
    x = 48,323,375,609.29/356,584.50
  6. Step 6: Final answer
    x = 135,517.32

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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.