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Finding the Fourth Proportional to 437,720.80, 656,581.20 and 227,768.80

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Solution

The fourth proportional to 437,720.80, 656,581.20 and 227,768.80 is: 341,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,720.80 : 656,581.20 = 227,768.80 : x
  2. Step 2: Convert to fraction form
    437,720.80/656,581.20 = 227,768.80/x
  3. Step 3: Cross multiply
    437,720.80x = 656,581.20 × 227,768.80
  4. Step 4: Simplify right side
    437,720.80x = 149,548,712,026.56
  5. Step 5: Solve for x
    x = 149,548,712,026.56/437,720.80
  6. Step 6: Final answer
    x = 341,653.20

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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.