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Finding the Fourth Proportional to 451,886.90, 677,711.54 and 214,757.78

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Solution

The fourth proportional to 451,886.90, 677,711.54 and 214,757.78 is: 322,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,886.90 : 677,711.54 = 214,757.78 : x
  2. Step 2: Convert to fraction form
    451,886.90/677,711.54 = 214,757.78/x
  3. Step 3: Cross multiply
    451,886.90x = 677,711.54 × 214,757.78
  4. Step 4: Simplify right side
    451,886.90x = 145,543,822,959.12
  5. Step 5: Solve for x
    x = 145,543,822,959.12/451,886.90
  6. Step 6: Final answer
    x = 322,080.20

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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.