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Finding the Fourth Proportional to 313,388.40, 470,082.60 and 299,737.20

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Solution

The fourth proportional to 313,388.40, 470,082.60 and 299,737.20 is: 449,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,388.40 : 470,082.60 = 299,737.20 : x
  2. Step 2: Convert to fraction form
    313,388.40/470,082.60 = 299,737.20/x
  3. Step 3: Cross multiply
    313,388.40x = 470,082.60 × 299,737.20
  4. Step 4: Simplify right side
    313,388.40x = 140,901,242,292.72
  5. Step 5: Solve for x
    x = 140,901,242,292.72/313,388.40
  6. Step 6: Final answer
    x = 449,605.80

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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.