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Finding the Fourth Proportional to 296,865.44, 445,254.96 and 86,446.88

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Solution

The fourth proportional to 296,865.44, 445,254.96 and 86,446.88 is: 129,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,865.44 : 445,254.96 = 86,446.88 : x
  2. Step 2: Convert to fraction form
    296,865.44/445,254.96 = 86,446.88/x
  3. Step 3: Cross multiply
    296,865.44x = 445,254.96 × 86,446.88
  4. Step 4: Simplify right side
    296,865.44x = 38,490,902,096.52
  5. Step 5: Solve for x
    x = 38,490,902,096.52/296,865.44
  6. Step 6: Final answer
    x = 129,657.74

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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.