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Finding the Fourth Proportional to 273,296.80, 377,148.62 and 152,438

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Solution

The fourth proportional to 273,296.80, 377,148.62 and 152,438 is: 210,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,296.80 : 377,148.62 = 152,438 : x
  2. Step 2: Convert to fraction form
    273,296.80/377,148.62 = 152,438/x
  3. Step 3: Cross multiply
    273,296.80x = 377,148.62 × 152,438
  4. Step 4: Simplify right side
    273,296.80x = 57,491,781,335.56
  5. Step 5: Solve for x
    x = 57,491,781,335.56/273,296.80
  6. Step 6: Final answer
    x = 210,363.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.