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Finding the Fourth Proportional to 324,006.40, 485,790.90 and 172,228.60

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Solution

The fourth proportional to 324,006.40, 485,790.90 and 172,228.60 is: 258,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,006.40 : 485,790.90 = 172,228.60 : x
  2. Step 2: Convert to fraction form
    324,006.40/485,790.90 = 172,228.60/x
  3. Step 3: Cross multiply
    324,006.40x = 485,790.90 × 172,228.60
  4. Step 4: Simplify right side
    324,006.40x = 83,667,086,599.74
  5. Step 5: Solve for x
    x = 83,667,086,599.74/324,006.40
  6. Step 6: Final answer
    x = 258,226.65

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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.