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Finding the Fourth Proportional to 453,530.14, 680,393.62 and 137,978.85

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Solution

The fourth proportional to 453,530.14, 680,393.62 and 137,978.85 is: 206,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,530.14 : 680,393.62 = 137,978.85 : x
  2. Step 2: Convert to fraction form
    453,530.14/680,393.62 = 137,978.85/x
  3. Step 3: Cross multiply
    453,530.14x = 680,393.62 × 137,978.85
  4. Step 4: Simplify right side
    453,530.14x = 93,879,929,234.94
  5. Step 5: Solve for x
    x = 93,879,929,234.94/453,530.14
  6. Step 6: Final answer
    x = 206,998.21

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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.