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Finding the Fourth Proportional to 456,822.40, 685,233.60 and 315,104.80

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Solution

The fourth proportional to 456,822.40, 685,233.60 and 315,104.80 is: 472,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,822.40 : 685,233.60 = 315,104.80 : x
  2. Step 2: Convert to fraction form
    456,822.40/685,233.60 = 315,104.80/x
  3. Step 3: Cross multiply
    456,822.40x = 685,233.60 × 315,104.80
  4. Step 4: Simplify right side
    456,822.40x = 215,920,396,481.28
  5. Step 5: Solve for x
    x = 215,920,396,481.28/456,822.40
  6. Step 6: Final answer
    x = 472,657.20

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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.