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Finding the Fourth Proportional to 580,145.32, 870,198.84 and 238,576.92

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Solution

The fourth proportional to 580,145.32, 870,198.84 and 238,576.92 is: 357,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,145.32 : 870,198.84 = 238,576.92 : x
  2. Step 2: Convert to fraction form
    580,145.32/870,198.84 = 238,576.92/x
  3. Step 3: Cross multiply
    580,145.32x = 870,198.84 × 238,576.92
  4. Step 4: Simplify right side
    580,145.32x = 207,609,359,034.77
  5. Step 5: Solve for x
    x = 207,609,359,034.77/580,145.32
  6. Step 6: Final answer
    x = 357,857.51

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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.