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Finding the Fourth Proportional to 652,081.30, 978,121.95 and 202,830.55

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Solution

The fourth proportional to 652,081.30, 978,121.95 and 202,830.55 is: 304,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,081.30 : 978,121.95 = 202,830.55 : x
  2. Step 2: Convert to fraction form
    652,081.30/978,121.95 = 202,830.55/x
  3. Step 3: Cross multiply
    652,081.30x = 978,121.95 × 202,830.55
  4. Step 4: Simplify right side
    652,081.30x = 198,393,013,085.57
  5. Step 5: Solve for x
    x = 198,393,013,085.57/652,081.30
  6. Step 6: Final answer
    x = 304,245.83

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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.