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Finding the Fourth Proportional to 312,200.76, 467,828.10 and 206,641.56

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Solution

The fourth proportional to 312,200.76, 467,828.10 and 206,641.56 is: 309,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200.76 : 467,828.10 = 206,641.56 : x
  2. Step 2: Convert to fraction form
    312,200.76/467,828.10 = 206,641.56/x
  3. Step 3: Cross multiply
    312,200.76x = 467,828.10 × 206,641.56
  4. Step 4: Simplify right side
    312,200.76x = 96,672,728,395.84
  5. Step 5: Solve for x
    x = 96,672,728,395.84/312,200.76
  6. Step 6: Final answer
    x = 309,649.24

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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.