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Finding the Fourth Proportional to 580,009.86, 870,013.17 and 159,286.14

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Solution

The fourth proportional to 580,009.86, 870,013.17 and 159,286.14 is: 238,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,009.86 : 870,013.17 = 159,286.14 : x
  2. Step 2: Convert to fraction form
    580,009.86/870,013.17 = 159,286.14/x
  3. Step 3: Cross multiply
    580,009.86x = 870,013.17 × 159,286.14
  4. Step 4: Simplify right side
    580,009.86x = 138,581,039,598.46
  5. Step 5: Solve for x
    x = 138,581,039,598.46/580,009.86
  6. Step 6: Final answer
    x = 238,928.77

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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.