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Finding the Fourth Proportional to 431,872.20, 648,002.70 and 207,145.80

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Solution

The fourth proportional to 431,872.20, 648,002.70 and 207,145.80 is: 310,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,872.20 : 648,002.70 = 207,145.80 : x
  2. Step 2: Convert to fraction form
    431,872.20/648,002.70 = 207,145.80/x
  3. Step 3: Cross multiply
    431,872.20x = 648,002.70 × 207,145.80
  4. Step 4: Simplify right side
    431,872.20x = 134,231,037,693.66
  5. Step 5: Solve for x
    x = 134,231,037,693.66/431,872.20
  6. Step 6: Final answer
    x = 310,811.94

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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.