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Finding the Fourth Proportional to 421,991.64, 633,043.04 and 137,582.28

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Solution

The fourth proportional to 421,991.64, 633,043.04 and 137,582.28 is: 206,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,991.64 : 633,043.04 = 137,582.28 : x
  2. Step 2: Convert to fraction form
    421,991.64/633,043.04 = 137,582.28/x
  3. Step 3: Cross multiply
    421,991.64x = 633,043.04 × 137,582.28
  4. Step 4: Simplify right side
    421,991.64x = 87,095,504,093.42
  5. Step 5: Solve for x
    x = 87,095,504,093.42/421,991.64
  6. Step 6: Final answer
    x = 206,391.54

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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.