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Finding the Fourth Proportional to 278,682.96, 384,320.52 and 214,919.76

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Solution

The fourth proportional to 278,682.96, 384,320.52 and 214,919.76 is: 296,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,682.96 : 384,320.52 = 214,919.76 : x
  2. Step 2: Convert to fraction form
    278,682.96/384,320.52 = 214,919.76/x
  3. Step 3: Cross multiply
    278,682.96x = 384,320.52 × 214,919.76
  4. Step 4: Simplify right side
    278,682.96x = 82,598,073,921.48
  5. Step 5: Solve for x
    x = 82,598,073,921.48/278,682.96
  6. Step 6: Final answer
    x = 296,387.24

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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.