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Finding the Fourth Proportional to 451,712.68, 677,642.70 and 185,401.72

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Solution

The fourth proportional to 451,712.68, 677,642.70 and 185,401.72 is: 278,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,712.68 : 677,642.70 = 185,401.72 : x
  2. Step 2: Convert to fraction form
    451,712.68/677,642.70 = 185,401.72/x
  3. Step 3: Cross multiply
    451,712.68x = 677,642.70 × 185,401.72
  4. Step 4: Simplify right side
    451,712.68x = 125,636,122,125.44
  5. Step 5: Solve for x
    x = 125,636,122,125.44/451,712.68
  6. Step 6: Final answer
    x = 278,132.82

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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.