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Finding the Fourth Proportional to 415,633.86, 623,257.02 and 215,900.61

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Solution

The fourth proportional to 415,633.86, 623,257.02 and 215,900.61 is: 323,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,633.86 : 623,257.02 = 215,900.61 : x
  2. Step 2: Convert to fraction form
    415,633.86/623,257.02 = 215,900.61/x
  3. Step 3: Cross multiply
    415,633.86x = 623,257.02 × 215,900.61
  4. Step 4: Simplify right side
    415,633.86x = 134,561,570,804.78
  5. Step 5: Solve for x
    x = 134,561,570,804.78/415,633.86
  6. Step 6: Final answer
    x = 323,750.26

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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.