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Finding the Fourth Proportional to 288,684.87, 433,148.41 and 128,650.56

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Solution

The fourth proportional to 288,684.87, 433,148.41 and 128,650.56 is: 193,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684.87 : 433,148.41 = 128,650.56 : x
  2. Step 2: Convert to fraction form
    288,684.87/433,148.41 = 128,650.56/x
  3. Step 3: Cross multiply
    288,684.87x = 433,148.41 × 128,650.56
  4. Step 4: Simplify right side
    288,684.87x = 55,724,782,700.61
  5. Step 5: Solve for x
    x = 55,724,782,700.61/288,684.87
  6. Step 6: Final answer
    x = 193,029.80

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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.