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Finding the Fourth Proportional to 421,865.42, 632,847.22 and 148,227.53

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Solution

The fourth proportional to 421,865.42, 632,847.22 and 148,227.53 is: 222,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,865.42 : 632,847.22 = 148,227.53 : x
  2. Step 2: Convert to fraction form
    421,865.42/632,847.22 = 148,227.53/x
  3. Step 3: Cross multiply
    421,865.42x = 632,847.22 × 148,227.53
  4. Step 4: Simplify right side
    421,865.42x = 93,805,376,753.16
  5. Step 5: Solve for x
    x = 93,805,376,753.16/421,865.42
  6. Step 6: Final answer
    x = 222,358.54

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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.