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Finding the Fourth Proportional to 453,529.80, 680,393.11 and 137,978.50

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Solution

The fourth proportional to 453,529.80, 680,393.11 and 137,978.50 is: 206,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,529.80 : 680,393.11 = 137,978.50 : x
  2. Step 2: Convert to fraction form
    453,529.80/680,393.11 = 137,978.50/x
  3. Step 3: Cross multiply
    453,529.80x = 680,393.11 × 137,978.50
  4. Step 4: Simplify right side
    453,529.80x = 93,879,620,383.19
  5. Step 5: Solve for x
    x = 93,879,620,383.19/453,529.80
  6. Step 6: Final answer
    x = 206,997.69

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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.