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Finding the Fourth Proportional to 415,978.85, 574,050.86 and 224,992.25

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Solution

The fourth proportional to 415,978.85, 574,050.86 and 224,992.25 is: 310,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,978.85 : 574,050.86 = 224,992.25 : x
  2. Step 2: Convert to fraction form
    415,978.85/574,050.86 = 224,992.25/x
  3. Step 3: Cross multiply
    415,978.85x = 574,050.86 × 224,992.25
  4. Step 4: Simplify right side
    415,978.85x = 129,156,993,480.87
  5. Step 5: Solve for x
    x = 129,156,993,480.87/415,978.85
  6. Step 6: Final answer
    x = 310,489.33

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1.5x scale

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.