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Finding the Fourth Proportional to 421,653.46, 632,687.96 and 197,029.42

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Solution

The fourth proportional to 421,653.46, 632,687.96 and 197,029.42 is: 295,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,653.46 : 632,687.96 = 197,029.42 : x
  2. Step 2: Convert to fraction form
    421,653.46/632,687.96 = 197,029.42/x
  3. Step 3: Cross multiply
    421,653.46x = 632,687.96 × 197,029.42
  4. Step 4: Simplify right side
    421,653.46x = 124,658,141,799.78
  5. Step 5: Solve for x
    x = 124,658,141,799.78/421,653.46
  6. Step 6: Final answer
    x = 295,641.22

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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.