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Finding the Fourth Proportional to 313,892.80, 470,839.20 and 187,921.60

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Solution

The fourth proportional to 313,892.80, 470,839.20 and 187,921.60 is: 281,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892.80 : 470,839.20 = 187,921.60 : x
  2. Step 2: Convert to fraction form
    313,892.80/470,839.20 = 187,921.60/x
  3. Step 3: Cross multiply
    313,892.80x = 470,839.20 × 187,921.60
  4. Step 4: Simplify right side
    313,892.80x = 88,480,855,806.72
  5. Step 5: Solve for x
    x = 88,480,855,806.72/313,892.80
  6. Step 6: Final answer
    x = 281,882.40

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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.