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Finding the Fourth Proportional to 208,930.80, 312,877.80 and 167,458.80

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Solution

The fourth proportional to 208,930.80, 312,877.80 and 167,458.80 is: 250,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,930.80 : 312,877.80 = 167,458.80 : x
  2. Step 2: Convert to fraction form
    208,930.80/312,877.80 = 167,458.80/x
  3. Step 3: Cross multiply
    208,930.80x = 312,877.80 × 167,458.80
  4. Step 4: Simplify right side
    208,930.80x = 52,394,140,934.64
  5. Step 5: Solve for x
    x = 52,394,140,934.64/208,930.80
  6. Step 6: Final answer
    x = 250,772.70

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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.