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Finding the Fourth Proportional to 276,009.64, 414,013.95 and 86,484.52

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Solution

The fourth proportional to 276,009.64, 414,013.95 and 86,484.52 is: 129,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.64 : 414,013.95 = 86,484.52 : x
  2. Step 2: Convert to fraction form
    276,009.64/414,013.95 = 86,484.52/x
  3. Step 3: Cross multiply
    276,009.64x = 414,013.95 × 86,484.52
  4. Step 4: Simplify right side
    276,009.64x = 35,805,797,306.63
  5. Step 5: Solve for x
    x = 35,805,797,306.63/276,009.64
  6. Step 6: Final answer
    x = 129,726.62

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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.