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Finding the Fourth Proportional to 252,384.29, 378,494.52 and 83,859.36

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Solution

The fourth proportional to 252,384.29, 378,494.52 and 83,859.36 is: 125,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,384.29 : 378,494.52 = 83,859.36 : x
  2. Step 2: Convert to fraction form
    252,384.29/378,494.52 = 83,859.36/x
  3. Step 3: Cross multiply
    252,384.29x = 378,494.52 × 83,859.36
  4. Step 4: Simplify right side
    252,384.29x = 31,740,308,013.10
  5. Step 5: Solve for x
    x = 31,740,308,013.10/252,384.29
  6. Step 6: Final answer
    x = 125,761.82

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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.