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Finding the Fourth Proportional to 392,472,005.20, 588,708,007.80 and 119,807,342.80

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Solution

The fourth proportional to 392,472,005.20, 588,708,007.80 and 119,807,342.80 is: 179,711,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472,005.20 : 588,708,007.80 = 119,807,342.80 : x
  2. Step 2: Convert to fraction form
    392,472,005.20/588,708,007.80 = 119,807,342.80/x
  3. Step 3: Cross multiply
    392,472,005.20x = 588,708,007.80 × 119,807,342.80
  4. Step 4: Simplify right side
    392,472,005.20x = 70,531,542,099,599,664
  5. Step 5: Solve for x
    x = 70,531,542,099,599,664/392,472,005.20
  6. Step 6: Final answer
    x = 179,711,014.20

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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.