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Finding the Fourth Proportional to 252,353.50, 378,471.89 and 74,817.70

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Solution

The fourth proportional to 252,353.50, 378,471.89 and 74,817.70 is: 112,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,353.50 : 378,471.89 = 74,817.70 : x
  2. Step 2: Convert to fraction form
    252,353.50/378,471.89 = 74,817.70/x
  3. Step 3: Cross multiply
    252,353.50x = 378,471.89 × 74,817.70
  4. Step 4: Simplify right side
    252,353.50x = 28,316,395,565.32
  5. Step 5: Solve for x
    x = 28,316,395,565.32/252,353.50
  6. Step 6: Final answer
    x = 112,209.25

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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.