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Finding the Fourth Proportional to 278,084, 383,753.64 and 150,756.32

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Solution

The fourth proportional to 278,084, 383,753.64 and 150,756.32 is: 208,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,084 : 383,753.64 = 150,756.32 : x
  2. Step 2: Convert to fraction form
    278,084/383,753.64 = 150,756.32/x
  3. Step 3: Cross multiply
    278,084x = 383,753.64 × 150,756.32
  4. Step 4: Simplify right side
    278,084x = 57,853,286,553.00
  5. Step 5: Solve for x
    x = 57,853,286,553.00/278,084
  6. Step 6: Final answer
    x = 208,042.49

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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.