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Finding the Fourth Proportional to 392,124.78, 588,187.08 and 111,642

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Solution

The fourth proportional to 392,124.78, 588,187.08 and 111,642 is: 167,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,124.78 : 588,187.08 = 111,642 : x
  2. Step 2: Convert to fraction form
    392,124.78/588,187.08 = 111,642/x
  3. Step 3: Cross multiply
    392,124.78x = 588,187.08 × 111,642
  4. Step 4: Simplify right side
    392,124.78x = 65,666,381,985.36
  5. Step 5: Solve for x
    x = 65,666,381,985.36/392,124.78
  6. Step 6: Final answer
    x = 167,462.97

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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.