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Finding the Fourth Proportional to 453,384.90, 680,115.42 and 137,844.54

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Solution

The fourth proportional to 453,384.90, 680,115.42 and 137,844.54 is: 206,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,384.90 : 680,115.42 = 137,844.54 : x
  2. Step 2: Convert to fraction form
    453,384.90/680,115.42 = 137,844.54/x
  3. Step 3: Cross multiply
    453,384.90x = 680,115.42 × 137,844.54
  4. Step 4: Simplify right side
    453,384.90x = 93,750,197,216.81
  5. Step 5: Solve for x
    x = 93,750,197,216.81/453,384.90
  6. Step 6: Final answer
    x = 206,778.38

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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.