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Finding the Fourth Proportional to 288,103.80, 431,604.90 and 154,939.80

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Solution

The fourth proportional to 288,103.80, 431,604.90 and 154,939.80 is: 232,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,103.80 : 431,604.90 = 154,939.80 : x
  2. Step 2: Convert to fraction form
    288,103.80/431,604.90 = 154,939.80/x
  3. Step 3: Cross multiply
    288,103.80x = 431,604.90 × 154,939.80
  4. Step 4: Simplify right side
    288,103.80x = 66,872,776,885.02
  5. Step 5: Solve for x
    x = 66,872,776,885.02/288,103.80
  6. Step 6: Final answer
    x = 232,113.48

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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.