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Finding the Fourth Proportional to 281,666.56, 422,513.28 and 71,306.24

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Solution

The fourth proportional to 281,666.56, 422,513.28 and 71,306.24 is: 106,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,666.56 : 422,513.28 = 71,306.24 : x
  2. Step 2: Convert to fraction form
    281,666.56/422,513.28 = 71,306.24/x
  3. Step 3: Cross multiply
    281,666.56x = 422,513.28 × 71,306.24
  4. Step 4: Simplify right side
    281,666.56x = 30,127,833,346.87
  5. Step 5: Solve for x
    x = 30,127,833,346.87/281,666.56
  6. Step 6: Final answer
    x = 106,962.76

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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.