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Finding the Fourth Proportional to 460,156.40, 690,234.60 and 440,082.80

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Solution

The fourth proportional to 460,156.40, 690,234.60 and 440,082.80 is: 660,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,156.40 : 690,234.60 = 440,082.80 : x
  2. Step 2: Convert to fraction form
    460,156.40/690,234.60 = 440,082.80/x
  3. Step 3: Cross multiply
    460,156.40x = 690,234.60 × 440,082.80
  4. Step 4: Simplify right side
    460,156.40x = 303,760,375,424.88
  5. Step 5: Solve for x
    x = 303,760,375,424.88/460,156.40
  6. Step 6: Final answer
    x = 660,124.20

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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.