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Finding the Fourth Proportional to 475,418.70, 713,252.06 and 138,451.86

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Solution

The fourth proportional to 475,418.70, 713,252.06 and 138,451.86 is: 207,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,418.70 : 713,252.06 = 138,451.86 : x
  2. Step 2: Convert to fraction form
    475,418.70/713,252.06 = 138,451.86/x
  3. Step 3: Cross multiply
    475,418.70x = 713,252.06 × 138,451.86
  4. Step 4: Simplify right side
    475,418.70x = 98,751,073,663.57
  5. Step 5: Solve for x
    x = 98,751,073,663.57/475,418.70
  6. Step 6: Final answer
    x = 207,713.90

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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.