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Finding the Fourth Proportional to 281,214.28, 421,865.42 and 91,630.64

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Solution

The fourth proportional to 281,214.28, 421,865.42 and 91,630.64 is: 137,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,214.28 : 421,865.42 = 91,630.64 : x
  2. Step 2: Convert to fraction form
    281,214.28/421,865.42 = 91,630.64/x
  3. Step 3: Cross multiply
    281,214.28x = 421,865.42 × 91,630.64
  4. Step 4: Simplify right side
    281,214.28x = 38,655,799,024.98
  5. Step 5: Solve for x
    x = 38,655,799,024.98/281,214.28
  6. Step 6: Final answer
    x = 137,460.30

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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.