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Finding the Fourth Proportional to 415,632.85, 623,255.51 and 215,899.61

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Solution

The fourth proportional to 415,632.85, 623,255.51 and 215,899.61 is: 323,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,632.85 : 623,255.51 = 215,899.61 : x
  2. Step 2: Convert to fraction form
    415,632.85/623,255.51 = 215,899.61/x
  3. Step 3: Cross multiply
    415,632.85x = 623,255.51 × 215,899.61
  4. Step 4: Simplify right side
    415,632.85x = 134,560,622,079.10
  5. Step 5: Solve for x
    x = 134,560,622,079.10/415,632.85
  6. Step 6: Final answer
    x = 323,748.77

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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.