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Finding the Fourth Proportional to 477,099.65, 715,538.70 and 140,049.78

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Solution

The fourth proportional to 477,099.65, 715,538.70 and 140,049.78 is: 210,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,099.65 : 715,538.70 = 140,049.78 : x
  2. Step 2: Convert to fraction form
    477,099.65/715,538.70 = 140,049.78/x
  3. Step 3: Cross multiply
    477,099.65x = 715,538.70 × 140,049.78
  4. Step 4: Simplify right side
    477,099.65x = 100,211,037,516.49
  5. Step 5: Solve for x
    x = 100,211,037,516.49/477,099.65
  6. Step 6: Final answer
    x = 210,042.15

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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.