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Finding the Fourth Proportional to 252,179.60, 378,269.40 and 145,891.40

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Solution

The fourth proportional to 252,179.60, 378,269.40 and 145,891.40 is: 218,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,179.60 : 378,269.40 = 145,891.40 : x
  2. Step 2: Convert to fraction form
    252,179.60/378,269.40 = 145,891.40/x
  3. Step 3: Cross multiply
    252,179.60x = 378,269.40 × 145,891.40
  4. Step 4: Simplify right side
    252,179.60x = 55,186,252,343.16
  5. Step 5: Solve for x
    x = 55,186,252,343.16/252,179.60
  6. Step 6: Final answer
    x = 218,837.10

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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.