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Finding the Fourth Proportional to 649,471.76, 974,366.48 and 457,720.33

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Solution

The fourth proportional to 649,471.76, 974,366.48 and 457,720.33 is: 686,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,471.76 : 974,366.48 = 457,720.33 : x
  2. Step 2: Convert to fraction form
    649,471.76/974,366.48 = 457,720.33/x
  3. Step 3: Cross multiply
    649,471.76x = 974,366.48 × 457,720.33
  4. Step 4: Simplify right side
    649,471.76x = 445,987,345,474.92
  5. Step 5: Solve for x
    x = 445,987,345,474.92/649,471.76
  6. Step 6: Final answer
    x = 686,692.44

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Double scale
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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.