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Finding the Fourth Proportional to 278,623.64, 417,935.46 and 112,295

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Solution

The fourth proportional to 278,623.64, 417,935.46 and 112,295 is: 168,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,623.64 : 417,935.46 = 112,295 : x
  2. Step 2: Convert to fraction form
    278,623.64/417,935.46 = 112,295/x
  3. Step 3: Cross multiply
    278,623.64x = 417,935.46 × 112,295
  4. Step 4: Simplify right side
    278,623.64x = 46,932,062,480.70
  5. Step 5: Solve for x
    x = 46,932,062,480.70/278,623.64
  6. Step 6: Final answer
    x = 168,442.50

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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.