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Finding the Fourth Proportional to 580,171.36, 870,218.16 and 159,412

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Solution

The fourth proportional to 580,171.36, 870,218.16 and 159,412 is: 239,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,171.36 : 870,218.16 = 159,412 : x
  2. Step 2: Convert to fraction form
    580,171.36/870,218.16 = 159,412/x
  3. Step 3: Cross multiply
    580,171.36x = 870,218.16 × 159,412
  4. Step 4: Simplify right side
    580,171.36x = 138,723,217,321.92
  5. Step 5: Solve for x
    x = 138,723,217,321.92/580,171.36
  6. Step 6: Final answer
    x = 239,107.32

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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.