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Finding the Fourth Proportional to 415,536, 623,082.24 and 215,655.18

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Solution

The fourth proportional to 415,536, 623,082.24 and 215,655.18 is: 323,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536 : 623,082.24 = 215,655.18 : x
  2. Step 2: Convert to fraction form
    415,536/623,082.24 = 215,655.18/x
  3. Step 3: Cross multiply
    415,536x = 623,082.24 × 215,655.18
  4. Step 4: Simplify right side
    415,536x = 134,370,912,622.00
  5. Step 5: Solve for x
    x = 134,370,912,622.00/415,536
  6. Step 6: Final answer
    x = 323,367.68

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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.