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Finding the Fourth Proportional to 652,082.30, 978,123.45 and 202,831.55

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Solution

The fourth proportional to 652,082.30, 978,123.45 and 202,831.55 is: 304,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,082.30 : 978,123.45 = 202,831.55 : x
  2. Step 2: Convert to fraction form
    652,082.30/978,123.45 = 202,831.55/x
  3. Step 3: Cross multiply
    652,082.30x = 978,123.45 × 202,831.55
  4. Step 4: Simplify right side
    652,082.30x = 198,394,295,454.85
  5. Step 5: Solve for x
    x = 198,394,295,454.85/652,082.30
  6. Step 6: Final answer
    x = 304,247.33

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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.