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Finding the Fourth Proportional to 311,565.87, 430,016.90 and 297,366.80

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Solution

The fourth proportional to 311,565.87, 430,016.90 and 297,366.80 is: 410,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,565.87 : 430,016.90 = 297,366.80 : x
  2. Step 2: Convert to fraction form
    311,565.87/430,016.90 = 297,366.80/x
  3. Step 3: Cross multiply
    311,565.87x = 430,016.90 × 297,366.80
  4. Step 4: Simplify right side
    311,565.87x = 127,872,745,862.00
  5. Step 5: Solve for x
    x = 127,872,745,862.00/311,565.87
  6. Step 6: Final answer
    x = 410,419.62

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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.