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Finding the Fourth Proportional to 421,651.71, 632,685.33 and 197,027.67

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Solution

The fourth proportional to 421,651.71, 632,685.33 and 197,027.67 is: 295,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,651.71 : 632,685.33 = 197,027.67 : x
  2. Step 2: Convert to fraction form
    421,651.71/632,685.33 = 197,027.67/x
  3. Step 3: Cross multiply
    421,651.71x = 632,685.33 × 197,027.67
  4. Step 4: Simplify right side
    421,651.71x = 124,656,513,249.65
  5. Step 5: Solve for x
    x = 124,656,513,249.65/421,651.71
  6. Step 6: Final answer
    x = 295,638.58

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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.