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Finding the Fourth Proportional to 323,728.74, 446,586.90 and 216,325.20

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Solution

The fourth proportional to 323,728.74, 446,586.90 and 216,325.20 is: 298,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,728.74 : 446,586.90 = 216,325.20 : x
  2. Step 2: Convert to fraction form
    323,728.74/446,586.90 = 216,325.20/x
  3. Step 3: Cross multiply
    323,728.74x = 446,586.90 × 216,325.20
  4. Step 4: Simplify right side
    323,728.74x = 96,608,000,459.88
  5. Step 5: Solve for x
    x = 96,608,000,459.88/323,728.74
  6. Step 6: Final answer
    x = 298,422.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.