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Finding the Fourth Proportional to 421,651.92, 632,685.65 and 197,027.89

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Solution

The fourth proportional to 421,651.92, 632,685.65 and 197,027.89 is: 295,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,651.92 : 632,685.65 = 197,027.89 : x
  2. Step 2: Convert to fraction form
    421,651.92/632,685.65 = 197,027.89/x
  3. Step 3: Cross multiply
    421,651.92x = 632,685.65 × 197,027.89
  4. Step 4: Simplify right side
    421,651.92x = 124,656,717,194.21
  5. Step 5: Solve for x
    x = 124,656,717,194.21/421,651.92
  6. Step 6: Final answer
    x = 295,638.91

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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.