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Finding the Fourth Proportional to 415,568.38, 623,632.80 and 162,817.16

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Solution

The fourth proportional to 415,568.38, 623,632.80 and 162,817.16 is: 244,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,568.38 : 623,632.80 = 162,817.16 : x
  2. Step 2: Convert to fraction form
    415,568.38/623,632.80 = 162,817.16/x
  3. Step 3: Cross multiply
    415,568.38x = 623,632.80 × 162,817.16
  4. Step 4: Simplify right side
    415,568.38x = 101,538,121,378.85
  5. Step 5: Solve for x
    x = 101,538,121,378.85/415,568.38
  6. Step 6: Final answer
    x = 244,335.53

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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.