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Finding the Fourth Proportional to 483,215.80, 724,823.70 and 408,566.20

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Solution

The fourth proportional to 483,215.80, 724,823.70 and 408,566.20 is: 612,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,215.80 : 724,823.70 = 408,566.20 : x
  2. Step 2: Convert to fraction form
    483,215.80/724,823.70 = 408,566.20/x
  3. Step 3: Cross multiply
    483,215.80x = 724,823.70 × 408,566.20
  4. Step 4: Simplify right side
    483,215.80x = 296,138,464,778.94
  5. Step 5: Solve for x
    x = 296,138,464,778.94/483,215.80
  6. Step 6: Final answer
    x = 612,849.30

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Double scale
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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.