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Finding the Fourth Proportional to 538,694.84, 807,928.80 and 159,618.78

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Solution

The fourth proportional to 538,694.84, 807,928.80 and 159,618.78 is: 239,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,694.84 : 807,928.80 = 159,618.78 : x
  2. Step 2: Convert to fraction form
    538,694.84/807,928.80 = 159,618.78/x
  3. Step 3: Cross multiply
    538,694.84x = 807,928.80 × 159,618.78
  4. Step 4: Simplify right side
    538,694.84x = 128,960,609,382.86
  5. Step 5: Solve for x
    x = 128,960,609,382.86/538,694.84
  6. Step 6: Final answer
    x = 239,394.55

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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.