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Finding the Fourth Proportional to 278,468.88, 384,287.44 and 151,144.40

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Solution

The fourth proportional to 278,468.88, 384,287.44 and 151,144.40 is: 208,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,468.88 : 384,287.44 = 151,144.40 : x
  2. Step 2: Convert to fraction form
    278,468.88/384,287.44 = 151,144.40/x
  3. Step 3: Cross multiply
    278,468.88x = 384,287.44 × 151,144.40
  4. Step 4: Simplify right side
    278,468.88x = 58,082,894,546.34
  5. Step 5: Solve for x
    x = 58,082,894,546.34/278,468.88
  6. Step 6: Final answer
    x = 208,579.48

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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.