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Finding the Fourth Proportional to 252,487.36, 378,443.28 and 157,761.28

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Solution

The fourth proportional to 252,487.36, 378,443.28 and 157,761.28 is: 236,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,487.36 : 378,443.28 = 157,761.28 : x
  2. Step 2: Convert to fraction form
    252,487.36/378,443.28 = 157,761.28/x
  3. Step 3: Cross multiply
    252,487.36x = 378,443.28 × 157,761.28
  4. Step 4: Simplify right side
    252,487.36x = 59,703,696,260.20
  5. Step 5: Solve for x
    x = 59,703,696,260.20/252,487.36
  6. Step 6: Final answer
    x = 236,462.12

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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.