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Finding the Fourth Proportional to 217,680.40, 326,117.40 and 123,907.60

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Solution

The fourth proportional to 217,680.40, 326,117.40 and 123,907.60 is: 185,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680.40 : 326,117.40 = 123,907.60 : x
  2. Step 2: Convert to fraction form
    217,680.40/326,117.40 = 123,907.60/x
  3. Step 3: Cross multiply
    217,680.40x = 326,117.40 × 123,907.60
  4. Step 4: Simplify right side
    217,680.40x = 40,408,424,352.24
  5. Step 5: Solve for x
    x = 40,408,424,352.24/217,680.40
  6. Step 6: Final answer
    x = 185,631.89

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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.