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Finding the Fourth Proportional to 421,962.75, 632,728.80 and 137,470.37

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Solution

The fourth proportional to 421,962.75, 632,728.80 and 137,470.37 is: 206,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,962.75 : 632,728.80 = 137,470.37 : x
  2. Step 2: Convert to fraction form
    421,962.75/632,728.80 = 137,470.37/x
  3. Step 3: Cross multiply
    421,962.75x = 632,728.80 × 137,470.37
  4. Step 4: Simplify right side
    421,962.75x = 86,981,459,082.01
  5. Step 5: Solve for x
    x = 86,981,459,082.01/421,962.75
  6. Step 6: Final answer
    x = 206,135.40

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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.