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Finding the Fourth Proportional to 319,691.80, 478,905.90 and 162,033.40

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Solution

The fourth proportional to 319,691.80, 478,905.90 and 162,033.40 is: 242,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,691.80 : 478,905.90 = 162,033.40 : x
  2. Step 2: Convert to fraction form
    319,691.80/478,905.90 = 162,033.40/x
  3. Step 3: Cross multiply
    319,691.80x = 478,905.90 × 162,033.40
  4. Step 4: Simplify right side
    319,691.80x = 77,598,751,257.06
  5. Step 5: Solve for x
    x = 77,598,751,257.06/319,691.80
  6. Step 6: Final answer
    x = 242,729.88

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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.