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Finding the Fourth Proportional to 415,630.30, 623,221.88 and 215,454.46

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Solution

The fourth proportional to 415,630.30, 623,221.88 and 215,454.46 is: 323,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,630.30 : 623,221.88 = 215,454.46 : x
  2. Step 2: Convert to fraction form
    415,630.30/623,221.88 = 215,454.46/x
  3. Step 3: Cross multiply
    415,630.30x = 623,221.88 × 215,454.46
  4. Step 4: Simplify right side
    415,630.30x = 134,275,933,615.59
  5. Step 5: Solve for x
    x = 134,275,933,615.59/415,630.30
  6. Step 6: Final answer
    x = 323,065.80

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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.