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Finding the Fourth Proportional to 407,983.36, 612,046.08 and 127,429.12

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Solution

The fourth proportional to 407,983.36, 612,046.08 and 127,429.12 is: 191,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,983.36 : 612,046.08 = 127,429.12 : x
  2. Step 2: Convert to fraction form
    407,983.36/612,046.08 = 127,429.12/x
  3. Step 3: Cross multiply
    407,983.36x = 612,046.08 × 127,429.12
  4. Step 4: Simplify right side
    407,983.36x = 77,992,493,373.85
  5. Step 5: Solve for x
    x = 77,992,493,373.85/407,983.36
  6. Step 6: Final answer
    x = 191,165.87

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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.