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Finding the Fourth Proportional to 475,902, 713,776.41 and 138,863.52

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Solution

The fourth proportional to 475,902, 713,776.41 and 138,863.52 is: 208,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,902 : 713,776.41 = 138,863.52 : x
  2. Step 2: Convert to fraction form
    475,902/713,776.41 = 138,863.52/x
  3. Step 3: Cross multiply
    475,902x = 713,776.41 × 138,863.52
  4. Step 4: Simplify right side
    475,902x = 99,117,504,785.56
  5. Step 5: Solve for x
    x = 99,117,504,785.56/475,902
  6. Step 6: Final answer
    x = 208,272.93

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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.