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Finding the Fourth Proportional to 410,861.40, 616,400.10 and 130,378.20

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Solution

The fourth proportional to 410,861.40, 616,400.10 and 130,378.20 is: 195,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,861.40 : 616,400.10 = 130,378.20 : x
  2. Step 2: Convert to fraction form
    410,861.40/616,400.10 = 130,378.20/x
  3. Step 3: Cross multiply
    410,861.40x = 616,400.10 × 130,378.20
  4. Step 4: Simplify right side
    410,861.40x = 80,365,135,517.82
  5. Step 5: Solve for x
    x = 80,365,135,517.82/410,861.40
  6. Step 6: Final answer
    x = 195,601.57

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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.