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Finding the Fourth Proportional to 650,456.32, 974,993.27 and 313,286.80

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Solution

The fourth proportional to 650,456.32, 974,993.27 and 313,286.80 is: 469,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,456.32 : 974,993.27 = 313,286.80 : x
  2. Step 2: Convert to fraction form
    650,456.32/974,993.27 = 313,286.80/x
  3. Step 3: Cross multiply
    650,456.32x = 974,993.27 × 313,286.80
  4. Step 4: Simplify right side
    650,456.32x = 305,452,516,704.87
  5. Step 5: Solve for x
    x = 305,452,516,704.87/650,456.32
  6. Step 6: Final answer
    x = 469,597.28

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1.5x scale

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.