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Finding the Fourth Proportional to 442,340.49, 663,382.36 and 172,408.50

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Solution

The fourth proportional to 442,340.49, 663,382.36 and 172,408.50 is: 258,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,340.49 : 663,382.36 = 172,408.50 : x
  2. Step 2: Convert to fraction form
    442,340.49/663,382.36 = 172,408.50/x
  3. Step 3: Cross multiply
    442,340.49x = 663,382.36 × 172,408.50
  4. Step 4: Simplify right side
    442,340.49x = 114,372,756,859.77
  5. Step 5: Solve for x
    x = 114,372,756,859.77/442,340.49
  6. Step 6: Final answer
    x = 258,562.71

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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.