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Finding the Fourth Proportional to 392,001.80, 588,002.80 and 111,519.05

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Solution

The fourth proportional to 392,001.80, 588,002.80 and 111,519.05 is: 167,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,001.80 : 588,002.80 = 111,519.05 : x
  2. Step 2: Convert to fraction form
    392,001.80/588,002.80 = 111,519.05/x
  3. Step 3: Cross multiply
    392,001.80x = 588,002.80 × 111,519.05
  4. Step 4: Simplify right side
    392,001.80x = 65,573,513,653.34
  5. Step 5: Solve for x
    x = 65,573,513,653.34/392,001.80
  6. Step 6: Final answer
    x = 167,278.60

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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.