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Finding the Fourth Proportional to 288,049.80, 431,880.30 and 153,136.20

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Solution

The fourth proportional to 288,049.80, 431,880.30 and 153,136.20 is: 229,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,049.80 : 431,880.30 = 153,136.20 : x
  2. Step 2: Convert to fraction form
    288,049.80/431,880.30 = 153,136.20/x
  3. Step 3: Cross multiply
    288,049.80x = 431,880.30 × 153,136.20
  4. Step 4: Simplify right side
    288,049.80x = 66,136,507,996.86
  5. Step 5: Solve for x
    x = 66,136,507,996.86/288,049.80
  6. Step 6: Final answer
    x = 229,600.95

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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.