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Finding the Fourth Proportional to 517,961.28, 714,775.44 and 288,517.68

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Solution

The fourth proportional to 517,961.28, 714,775.44 and 288,517.68 is: 398,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,961.28 : 714,775.44 = 288,517.68 : x
  2. Step 2: Convert to fraction form
    517,961.28/714,775.44 = 288,517.68/x
  3. Step 3: Cross multiply
    517,961.28x = 714,775.44 × 288,517.68
  4. Step 4: Simplify right side
    517,961.28x = 206,225,351,669.78
  5. Step 5: Solve for x
    x = 206,225,351,669.78/517,961.28
  6. Step 6: Final answer
    x = 398,148.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.