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Finding the Fourth Proportional to 288,624.31, 398,428.02 and 220,644.16

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Solution

The fourth proportional to 288,624.31, 398,428.02 and 220,644.16 is: 304,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,624.31 : 398,428.02 = 220,644.16 : x
  2. Step 2: Convert to fraction form
    288,624.31/398,428.02 = 220,644.16/x
  3. Step 3: Cross multiply
    288,624.31x = 398,428.02 × 220,644.16
  4. Step 4: Simplify right side
    288,624.31x = 87,910,815,793.36
  5. Step 5: Solve for x
    x = 87,910,815,793.36/288,624.31
  6. Step 6: Final answer
    x = 304,585.62

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1.5x scale

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.