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Finding the Fourth Proportional to 526,427.28, 726,469.65 and 284,709.86

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Solution

The fourth proportional to 526,427.28, 726,469.65 and 284,709.86 is: 392,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,427.28 : 726,469.65 = 284,709.86 : x
  2. Step 2: Convert to fraction form
    526,427.28/726,469.65 = 284,709.86/x
  3. Step 3: Cross multiply
    526,427.28x = 726,469.65 × 284,709.86
  4. Step 4: Simplify right side
    526,427.28x = 206,833,067,289.85
  5. Step 5: Solve for x
    x = 206,833,067,289.85/526,427.28
  6. Step 6: Final answer
    x = 392,899.60

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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.