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Finding the Fourth Proportional to 421,814.24, 632,787.36 and 137,438.76

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Solution

The fourth proportional to 421,814.24, 632,787.36 and 137,438.76 is: 206,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,814.24 : 632,787.36 = 137,438.76 : x
  2. Step 2: Convert to fraction form
    421,814.24/632,787.36 = 137,438.76/x
  3. Step 3: Cross multiply
    421,814.24x = 632,787.36 × 137,438.76
  4. Step 4: Simplify right side
    421,814.24x = 86,969,510,102.07
  5. Step 5: Solve for x
    x = 86,969,510,102.07/421,814.24
  6. Step 6: Final answer
    x = 206,179.64

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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.