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Finding the Fourth Proportional to 423,234.71, 634,839.75 and 123,722.32

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Solution

The fourth proportional to 423,234.71, 634,839.75 and 123,722.32 is: 185,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,234.71 : 634,839.75 = 123,722.32 : x
  2. Step 2: Convert to fraction form
    423,234.71/634,839.75 = 123,722.32/x
  3. Step 3: Cross multiply
    423,234.71x = 634,839.75 × 123,722.32
  4. Step 4: Simplify right side
    423,234.71x = 78,543,846,079.61
  5. Step 5: Solve for x
    x = 78,543,846,079.61/423,234.71
  6. Step 6: Final answer
    x = 185,579.88

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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.