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Finding the Fourth Proportional to 580,013.86, 870,019.16 and 159,290.14

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Solution

The fourth proportional to 580,013.86, 870,019.16 and 159,290.14 is: 238,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,013.86 : 870,019.16 = 159,290.14 : x
  2. Step 2: Convert to fraction form
    580,013.86/870,019.16 = 159,290.14/x
  3. Step 3: Cross multiply
    580,013.86x = 870,019.16 × 159,290.14
  4. Step 4: Simplify right side
    580,013.86x = 138,585,473,799.08
  5. Step 5: Solve for x
    x = 138,585,473,799.08/580,013.86
  6. Step 6: Final answer
    x = 238,934.76

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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.