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Finding the Fourth Proportional to 409,527.26, 565,435.78 and 287,279.54

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Solution

The fourth proportional to 409,527.26, 565,435.78 and 287,279.54 is: 396,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,527.26 : 565,435.78 = 287,279.54 : x
  2. Step 2: Convert to fraction form
    409,527.26/565,435.78 = 287,279.54/x
  3. Step 3: Cross multiply
    409,527.26x = 565,435.78 × 287,279.54
  4. Step 4: Simplify right side
    409,527.26x = 162,438,127,232.56
  5. Step 5: Solve for x
    x = 162,438,127,232.56/409,527.26
  6. Step 6: Final answer
    x = 396,647.90

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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.