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Finding the Fourth Proportional to 399,708.27, 599,656.77 and 129,835.58

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Solution

The fourth proportional to 399,708.27, 599,656.77 and 129,835.58 is: 194,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,708.27 : 599,656.77 = 129,835.58 : x
  2. Step 2: Convert to fraction form
    399,708.27/599,656.77 = 129,835.58/x
  3. Step 3: Cross multiply
    399,708.27x = 599,656.77 × 129,835.58
  4. Step 4: Simplify right side
    399,708.27x = 77,856,781,535.59
  5. Step 5: Solve for x
    x = 77,856,781,535.59/399,708.27
  6. Step 6: Final answer
    x = 194,784.01

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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.