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Finding the Fourth Proportional to 288,751.41, 432,836.31 and 120,364.95

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Solution

The fourth proportional to 288,751.41, 432,836.31 and 120,364.95 is: 180,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,751.41 : 432,836.31 = 120,364.95 : x
  2. Step 2: Convert to fraction form
    288,751.41/432,836.31 = 120,364.95/x
  3. Step 3: Cross multiply
    288,751.41x = 432,836.31 × 120,364.95
  4. Step 4: Simplify right side
    288,751.41x = 52,098,320,811.33
  5. Step 5: Solve for x
    x = 52,098,320,811.33/288,751.41
  6. Step 6: Final answer
    x = 180,426.20

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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.