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Finding the Fourth Proportional to 278,305.48, 384,097.78 and 155,844.49

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Solution

The fourth proportional to 278,305.48, 384,097.78 and 155,844.49 is: 215,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,305.48 : 384,097.78 = 155,844.49 : x
  2. Step 2: Convert to fraction form
    278,305.48/384,097.78 = 155,844.49/x
  3. Step 3: Cross multiply
    278,305.48x = 384,097.78 × 155,844.49
  4. Step 4: Simplify right side
    278,305.48x = 59,859,523,309.16
  5. Step 5: Solve for x
    x = 59,859,523,309.16/278,305.48
  6. Step 6: Final answer
    x = 215,085.68

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1.5x scale

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.