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Finding the Fourth Proportional to 475,685.43, 713,458.95 and 138,635.60

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Solution

The fourth proportional to 475,685.43, 713,458.95 and 138,635.60 is: 207,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,685.43 : 713,458.95 = 138,635.60 : x
  2. Step 2: Convert to fraction form
    475,685.43/713,458.95 = 138,635.60/x
  3. Step 3: Cross multiply
    475,685.43x = 713,458.95 × 138,635.60
  4. Step 4: Simplify right side
    475,685.43x = 98,910,810,314.47
  5. Step 5: Solve for x
    x = 98,910,810,314.47/475,685.43
  6. Step 6: Final answer
    x = 207,933.24

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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.