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Finding the Fourth Proportional to 465,481.20, 698,221.80 and 288,334.20

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Solution

The fourth proportional to 465,481.20, 698,221.80 and 288,334.20 is: 432,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,481.20 : 698,221.80 = 288,334.20 : x
  2. Step 2: Convert to fraction form
    465,481.20/698,221.80 = 288,334.20/x
  3. Step 3: Cross multiply
    465,481.20x = 698,221.80 × 288,334.20
  4. Step 4: Simplify right side
    465,481.20x = 201,321,224,125.56
  5. Step 5: Solve for x
    x = 201,321,224,125.56/465,481.20
  6. Step 6: Final answer
    x = 432,501.30

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Similar ratio
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1.5x scale

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.