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Finding the Fourth Proportional to 288,370.80, 432,601.16 and 138,583.17

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Solution

The fourth proportional to 288,370.80, 432,601.16 and 138,583.17 is: 207,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,370.80 : 432,601.16 = 138,583.17 : x
  2. Step 2: Convert to fraction form
    288,370.80/432,601.16 = 138,583.17/x
  3. Step 3: Cross multiply
    288,370.80x = 432,601.16 × 138,583.17
  4. Step 4: Simplify right side
    288,370.80x = 59,951,239,405.56
  5. Step 5: Solve for x
    x = 59,951,239,405.56/288,370.80
  6. Step 6: Final answer
    x = 207,896.36

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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.