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Finding the Fourth Proportional to 564,853.20, 779,494.59 and 306,727.84

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Solution

The fourth proportional to 564,853.20, 779,494.59 and 306,727.84 is: 423,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,853.20 : 779,494.59 = 306,727.84 : x
  2. Step 2: Convert to fraction form
    564,853.20/779,494.59 = 306,727.84/x
  3. Step 3: Cross multiply
    564,853.20x = 779,494.59 × 306,727.84
  4. Step 4: Simplify right side
    564,853.20x = 239,092,691,882.39
  5. Step 5: Solve for x
    x = 239,092,691,882.39/564,853.20
  6. Step 6: Final answer
    x = 423,282.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.