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Finding the Fourth Proportional to 252,495.29, 378,742.46 and 147,240.45

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Solution

The fourth proportional to 252,495.29, 378,742.46 and 147,240.45 is: 220,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,495.29 : 378,742.46 = 147,240.45 : x
  2. Step 2: Convert to fraction form
    252,495.29/378,742.46 = 147,240.45/x
  3. Step 3: Cross multiply
    252,495.29x = 378,742.46 × 147,240.45
  4. Step 4: Simplify right side
    252,495.29x = 55,766,209,508.30
  5. Step 5: Solve for x
    x = 55,766,209,508.30/252,495.29
  6. Step 6: Final answer
    x = 220,860.39

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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.