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Finding the Fourth Proportional to 578,151, 866,862 and 278,706.96

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Solution

The fourth proportional to 578,151, 866,862 and 278,706.96 is: 417,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,151 : 866,862 = 278,706.96 : x
  2. Step 2: Convert to fraction form
    578,151/866,862 = 278,706.96/x
  3. Step 3: Cross multiply
    578,151x = 866,862 × 278,706.96
  4. Step 4: Simplify right side
    578,151x = 241,600,472,759.52
  5. Step 5: Solve for x
    x = 241,600,472,759.52/578,151
  6. Step 6: Final answer
    x = 417,884.73

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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.