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Finding the Fourth Proportional to 288,628.86, 432,470.00 and 203,975.57

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Solution

The fourth proportional to 288,628.86, 432,470.00 and 203,975.57 is: 305,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,628.86 : 432,470.00 = 203,975.57 : x
  2. Step 2: Convert to fraction form
    288,628.86/432,470.00 = 203,975.57/x
  3. Step 3: Cross multiply
    288,628.86x = 432,470.00 × 203,975.57
  4. Step 4: Simplify right side
    288,628.86x = 88,213,311,575.67
  5. Step 5: Solve for x
    x = 88,213,311,575.67/288,628.86
  6. Step 6: Final answer
    x = 305,628.87

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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.