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Finding the Fourth Proportional to 281,654.20, 422,711.70 and 272,438.20

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Solution

The fourth proportional to 281,654.20, 422,711.70 and 272,438.20 is: 408,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,654.20 : 422,711.70 = 272,438.20 : x
  2. Step 2: Convert to fraction form
    281,654.20/422,711.70 = 272,438.20/x
  3. Step 3: Cross multiply
    281,654.20x = 422,711.70 × 272,438.20
  4. Step 4: Simplify right side
    281,654.20x = 115,162,814,666.94
  5. Step 5: Solve for x
    x = 115,162,814,666.94/281,654.20
  6. Step 6: Final answer
    x = 408,880.16

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1.5x scale

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.