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Finding the Fourth Proportional to 278,881.92, 417,880.08 and 166,296.24

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Solution

The fourth proportional to 278,881.92, 417,880.08 and 166,296.24 is: 249,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,881.92 : 417,880.08 = 166,296.24 : x
  2. Step 2: Convert to fraction form
    278,881.92/417,880.08 = 166,296.24/x
  3. Step 3: Cross multiply
    278,881.92x = 417,880.08 × 166,296.24
  4. Step 4: Simplify right side
    278,881.92x = 69,491,886,074.90
  5. Step 5: Solve for x
    x = 69,491,886,074.90/278,881.92
  6. Step 6: Final answer
    x = 249,180.32

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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.