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Finding the Fourth Proportional to 415,280.32, 622,723.20 and 215,400.40

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Solution

The fourth proportional to 415,280.32, 622,723.20 and 215,400.40 is: 322,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,280.32 : 622,723.20 = 215,400.40 : x
  2. Step 2: Convert to fraction form
    415,280.32/622,723.20 = 215,400.40/x
  3. Step 3: Cross multiply
    415,280.32x = 622,723.20 × 215,400.40
  4. Step 4: Simplify right side
    415,280.32x = 134,134,826,369.28
  5. Step 5: Solve for x
    x = 134,134,826,369.28/415,280.32
  6. Step 6: Final answer
    x = 322,998.27

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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.