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Finding the Fourth Proportional to 392,878.56, 589,575.96 and 215,510.16

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Solution

The fourth proportional to 392,878.56, 589,575.96 and 215,510.16 is: 323,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,878.56 : 589,575.96 = 215,510.16 : x
  2. Step 2: Convert to fraction form
    392,878.56/589,575.96 = 215,510.16/x
  3. Step 3: Cross multiply
    392,878.56x = 589,575.96 × 215,510.16
  4. Step 4: Simplify right side
    392,878.56x = 127,059,609,471.75
  5. Step 5: Solve for x
    x = 127,059,609,471.75/392,878.56
  6. Step 6: Final answer
    x = 323,406.83

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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.