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Finding the Fourth Proportional to 252,312.73, 378,469.10 and 119,206.38

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Solution

The fourth proportional to 252,312.73, 378,469.10 and 119,206.38 is: 178,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,312.73 : 378,469.10 = 119,206.38 : x
  2. Step 2: Convert to fraction form
    252,312.73/378,469.10 = 119,206.38/x
  3. Step 3: Cross multiply
    252,312.73x = 378,469.10 × 119,206.38
  4. Step 4: Simplify right side
    252,312.73x = 45,115,931,352.86
  5. Step 5: Solve for x
    x = 45,115,931,352.86/252,312.73
  6. Step 6: Final answer
    x = 178,809.57

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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.