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Finding the Fourth Proportional to 580,013.88, 870,019.16 and 159,290.16

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Solution

The fourth proportional to 580,013.88, 870,019.16 and 159,290.16 is: 238,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,013.88 : 870,019.16 = 159,290.16 : x
  2. Step 2: Convert to fraction form
    580,013.88/870,019.16 = 159,290.16/x
  3. Step 3: Cross multiply
    580,013.88x = 870,019.16 × 159,290.16
  4. Step 4: Simplify right side
    580,013.88x = 138,585,491,199.47
  5. Step 5: Solve for x
    x = 138,585,491,199.47/580,013.88
  6. Step 6: Final answer
    x = 238,934.78

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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.