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Finding the Fourth Proportional to 278,022.16, 417,162.84 and 165,697.84

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Solution

The fourth proportional to 278,022.16, 417,162.84 and 165,697.84 is: 248,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,022.16 : 417,162.84 = 165,697.84 : x
  2. Step 2: Convert to fraction form
    278,022.16/417,162.84 = 165,697.84/x
  3. Step 3: Cross multiply
    278,022.16x = 417,162.84 × 165,697.84
  4. Step 4: Simplify right side
    278,022.16x = 69,122,981,516.27
  5. Step 5: Solve for x
    x = 69,122,981,516.27/278,022.16
  6. Step 6: Final answer
    x = 248,624.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.