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Finding the Fourth Proportional to 415,971.38, 574,040.70 and 224,984.72

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Solution

The fourth proportional to 415,971.38, 574,040.70 and 224,984.72 is: 310,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,971.38 : 574,040.70 = 224,984.72 : x
  2. Step 2: Convert to fraction form
    415,971.38/574,040.70 = 224,984.72/x
  3. Step 3: Cross multiply
    415,971.38x = 574,040.70 × 224,984.72
  4. Step 4: Simplify right side
    415,971.38x = 129,150,383,287.90
  5. Step 5: Solve for x
    x = 129,150,383,287.90/415,971.38
  6. Step 6: Final answer
    x = 310,479.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.