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Finding the Fourth Proportional to 649,822.40, 974,560.80 and 200,542.40

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Solution

The fourth proportional to 649,822.40, 974,560.80 and 200,542.40 is: 300,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,822.40 : 974,560.80 = 200,542.40 : x
  2. Step 2: Convert to fraction form
    649,822.40/974,560.80 = 200,542.40/x
  3. Step 3: Cross multiply
    649,822.40x = 974,560.80 × 200,542.40
  4. Step 4: Simplify right side
    649,822.40x = 195,440,761,777.92
  5. Step 5: Solve for x
    x = 195,440,761,777.92/649,822.40
  6. Step 6: Final answer
    x = 300,760.27

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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.