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Finding the Fourth Proportional to 514,836.24, 710,472.72 and 288,481.72

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Solution

The fourth proportional to 514,836.24, 710,472.72 and 288,481.72 is: 398,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,836.24 : 710,472.72 = 288,481.72 : x
  2. Step 2: Convert to fraction form
    514,836.24/710,472.72 = 288,481.72/x
  3. Step 3: Cross multiply
    514,836.24x = 710,472.72 × 288,481.72
  4. Step 4: Simplify right side
    514,836.24x = 204,958,392,278.68
  5. Step 5: Solve for x
    x = 204,958,392,278.68/514,836.24
  6. Step 6: Final answer
    x = 398,104.05

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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.