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Finding the Fourth Proportional to 399,638.28, 599,693.85 and 147,096.12

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Solution

The fourth proportional to 399,638.28, 599,693.85 and 147,096.12 is: 220,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,638.28 : 599,693.85 = 147,096.12 : x
  2. Step 2: Convert to fraction form
    399,638.28/599,693.85 = 147,096.12/x
  3. Step 3: Cross multiply
    399,638.28x = 599,693.85 × 147,096.12
  4. Step 4: Simplify right side
    399,638.28x = 88,212,638,522.86
  5. Step 5: Solve for x
    x = 88,212,638,522.86/399,638.28
  6. Step 6: Final answer
    x = 220,731.20

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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.