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Finding the Fourth Proportional to 288,047.80, 431,682.90 and 193,007.80

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Solution

The fourth proportional to 288,047.80, 431,682.90 and 193,007.80 is: 289,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047.80 : 431,682.90 = 193,007.80 : x
  2. Step 2: Convert to fraction form
    288,047.80/431,682.90 = 193,007.80/x
  3. Step 3: Cross multiply
    288,047.80x = 431,682.90 × 193,007.80
  4. Step 4: Simplify right side
    288,047.80x = 83,318,166,826.62
  5. Step 5: Solve for x
    x = 83,318,166,826.62/288,047.80
  6. Step 6: Final answer
    x = 289,251.18

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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.