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Finding the Fourth Proportional to 451,711.68, 677,641.20 and 185,400.72

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Solution

The fourth proportional to 451,711.68, 677,641.20 and 185,400.72 is: 278,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,711.68 : 677,641.20 = 185,400.72 : x
  2. Step 2: Convert to fraction form
    451,711.68/677,641.20 = 185,400.72/x
  3. Step 3: Cross multiply
    451,711.68x = 677,641.20 × 185,400.72
  4. Step 4: Simplify right side
    451,711.68x = 125,635,166,381.66
  5. Step 5: Solve for x
    x = 125,635,166,381.66/451,711.68
  6. Step 6: Final answer
    x = 278,131.32

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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.