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Finding the Fourth Proportional to 326,076.30, 489,114.45 and 298,082.70

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Solution

The fourth proportional to 326,076.30, 489,114.45 and 298,082.70 is: 447,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,076.30 : 489,114.45 = 298,082.70 : x
  2. Step 2: Convert to fraction form
    326,076.30/489,114.45 = 298,082.70/x
  3. Step 3: Cross multiply
    326,076.30x = 489,114.45 × 298,082.70
  4. Step 4: Simplify right side
    326,076.30x = 145,796,555,865.02
  5. Step 5: Solve for x
    x = 145,796,555,865.02/326,076.30
  6. Step 6: Final answer
    x = 447,124.05

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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.