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Finding the Fourth Proportional to 272,501.34, 408,813.51 and 82,978.65

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Solution

The fourth proportional to 272,501.34, 408,813.51 and 82,978.65 is: 124,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,501.34 : 408,813.51 = 82,978.65 : x
  2. Step 2: Convert to fraction form
    272,501.34/408,813.51 = 82,978.65/x
  3. Step 3: Cross multiply
    272,501.34x = 408,813.51 × 82,978.65
  4. Step 4: Simplify right side
    272,501.34x = 33,922,793,161.56
  5. Step 5: Solve for x
    x = 33,922,793,161.56/272,501.34
  6. Step 6: Final answer
    x = 124,486.70

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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.