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Finding the Fourth Proportional to 578,218.46, 866,828.72 and 278,286.38

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Solution

The fourth proportional to 578,218.46, 866,828.72 and 278,286.38 is: 417,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,218.46 : 866,828.72 = 278,286.38 : x
  2. Step 2: Convert to fraction form
    578,218.46/866,828.72 = 278,286.38/x
  3. Step 3: Cross multiply
    578,218.46x = 866,828.72 × 278,286.38
  4. Step 4: Simplify right side
    578,218.46x = 241,226,626,568.83
  5. Step 5: Solve for x
    x = 241,226,626,568.83/578,218.46
  6. Step 6: Final answer
    x = 417,189.42

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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.