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Finding the Fourth Proportional to 278,952.16, 384,913.92 and 164,162.56

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Solution

The fourth proportional to 278,952.16, 384,913.92 and 164,162.56 is: 226,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,952.16 : 384,913.92 = 164,162.56 : x
  2. Step 2: Convert to fraction form
    278,952.16/384,913.92 = 164,162.56/x
  3. Step 3: Cross multiply
    278,952.16x = 384,913.92 × 164,162.56
  4. Step 4: Simplify right side
    278,952.16x = 63,188,454,486.84
  5. Step 5: Solve for x
    x = 63,188,454,486.84/278,952.16
  6. Step 6: Final answer
    x = 226,520.76

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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.