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Finding the Fourth Proportional to 415,538, 623,085.24 and 215,657.18

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Solution

The fourth proportional to 415,538, 623,085.24 and 215,657.18 is: 323,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,538 : 623,085.24 = 215,657.18 : x
  2. Step 2: Convert to fraction form
    415,538/623,085.24 = 215,657.18/x
  3. Step 3: Cross multiply
    415,538x = 623,085.24 × 215,657.18
  4. Step 4: Simplify right side
    415,538x = 134,372,805,758.02
  5. Step 5: Solve for x
    x = 134,372,805,758.02/415,538
  6. Step 6: Final answer
    x = 323,370.68

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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.