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Finding the Fourth Proportional to 278,296.17, 384,049.47 and 150,971.79

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Solution

The fourth proportional to 278,296.17, 384,049.47 and 150,971.79 is: 208,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,296.17 : 384,049.47 = 150,971.79 : x
  2. Step 2: Convert to fraction form
    278,296.17/384,049.47 = 150,971.79/x
  3. Step 3: Cross multiply
    278,296.17x = 384,049.47 × 150,971.79
  4. Step 4: Simplify right side
    278,296.17x = 57,980,635,934.45
  5. Step 5: Solve for x
    x = 57,980,635,934.45/278,296.17
  6. Step 6: Final answer
    x = 208,341.48

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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.