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Finding the Fourth Proportional to 278,898.93, 384,882.84 and 151,574.49

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Solution

The fourth proportional to 278,898.93, 384,882.84 and 151,574.49 is: 209,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,898.93 : 384,882.84 = 151,574.49 : x
  2. Step 2: Convert to fraction form
    278,898.93/384,882.84 = 151,574.49/x
  3. Step 3: Cross multiply
    278,898.93x = 384,882.84 × 151,574.49
  4. Step 4: Simplify right side
    278,898.93x = 58,338,420,182.75
  5. Step 5: Solve for x
    x = 58,338,420,182.75/278,898.93
  6. Step 6: Final answer
    x = 209,174.06

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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.