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Finding the Fourth Proportional to 278,924.31, 384,919.90 and 151,600.21

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Solution

The fourth proportional to 278,924.31, 384,919.90 and 151,600.21 is: 209,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,924.31 : 384,919.90 = 151,600.21 : x
  2. Step 2: Convert to fraction form
    278,924.31/384,919.90 = 151,600.21/x
  3. Step 3: Cross multiply
    278,924.31x = 384,919.90 × 151,600.21
  4. Step 4: Simplify right side
    278,924.31x = 58,353,936,331.88
  5. Step 5: Solve for x
    x = 58,353,936,331.88/278,924.31
  6. Step 6: Final answer
    x = 209,210.65

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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.