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Finding the Fourth Proportional to 456,691.20, 685,231.20 and 288,340.80

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Solution

The fourth proportional to 456,691.20, 685,231.20 and 288,340.80 is: 432,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,691.20 : 685,231.20 = 288,340.80 : x
  2. Step 2: Convert to fraction form
    456,691.20/685,231.20 = 288,340.80/x
  3. Step 3: Cross multiply
    456,691.20x = 685,231.20 × 288,340.80
  4. Step 4: Simplify right side
    456,691.20x = 197,580,112,392.96
  5. Step 5: Solve for x
    x = 197,580,112,392.96/456,691.20
  6. Step 6: Final answer
    x = 432,633.94

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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.