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Finding the Fourth Proportional to 286,957.61, 396,044.80 and 166,177.79

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Solution

The fourth proportional to 286,957.61, 396,044.80 and 166,177.79 is: 229,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,957.61 : 396,044.80 = 166,177.79 : x
  2. Step 2: Convert to fraction form
    286,957.61/396,044.80 = 166,177.79/x
  3. Step 3: Cross multiply
    286,957.61x = 396,044.80 × 166,177.79
  4. Step 4: Simplify right side
    286,957.61x = 65,813,847,209.32
  5. Step 5: Solve for x
    x = 65,813,847,209.32/286,957.61
  6. Step 6: Final answer
    x = 229,350.42

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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.