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Finding the Fourth Proportional to 327,007.20, 489,862.80 and 288,040.80

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Solution

The fourth proportional to 327,007.20, 489,862.80 and 288,040.80 is: 431,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,007.20 : 489,862.80 = 288,040.80 : x
  2. Step 2: Convert to fraction form
    327,007.20/489,862.80 = 288,040.80/x
  3. Step 3: Cross multiply
    327,007.20x = 489,862.80 × 288,040.80
  4. Step 4: Simplify right side
    327,007.20x = 141,100,472,802.24
  5. Step 5: Solve for x
    x = 141,100,472,802.24/327,007.20
  6. Step 6: Final answer
    x = 431,490.42

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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.