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Finding the Fourth Proportional to 437,843.40, 656,765.10 and 171,515.40

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Solution

The fourth proportional to 437,843.40, 656,765.10 and 171,515.40 is: 257,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,843.40 : 656,765.10 = 171,515.40 : x
  2. Step 2: Convert to fraction form
    437,843.40/656,765.10 = 171,515.40/x
  3. Step 3: Cross multiply
    437,843.40x = 656,765.10 × 171,515.40
  4. Step 4: Simplify right side
    437,843.40x = 112,645,328,832.54
  5. Step 5: Solve for x
    x = 112,645,328,832.54/437,843.40
  6. Step 6: Final answer
    x = 257,273.10

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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.