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Finding the Fourth Proportional to 521,170.08, 781,758.24 and 147,196.32

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Solution

The fourth proportional to 521,170.08, 781,758.24 and 147,196.32 is: 220,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,170.08 : 781,758.24 = 147,196.32 : x
  2. Step 2: Convert to fraction form
    521,170.08/781,758.24 = 147,196.32/x
  3. Step 3: Cross multiply
    521,170.08x = 781,758.24 × 147,196.32
  4. Step 4: Simplify right side
    521,170.08x = 115,071,936,057.68
  5. Step 5: Solve for x
    x = 115,071,936,057.68/521,170.08
  6. Step 6: Final answer
    x = 220,795.36

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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.