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Finding the Fourth Proportional to 421,778.46, 631,873.17 and 208,296.48

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Solution

The fourth proportional to 421,778.46, 631,873.17 and 208,296.48 is: 312,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,778.46 : 631,873.17 = 208,296.48 : x
  2. Step 2: Convert to fraction form
    421,778.46/631,873.17 = 208,296.48/x
  3. Step 3: Cross multiply
    421,778.46x = 631,873.17 × 208,296.48
  4. Step 4: Simplify right side
    421,778.46x = 131,616,957,117.44
  5. Step 5: Solve for x
    x = 131,616,957,117.44/421,778.46
  6. Step 6: Final answer
    x = 312,052.34

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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.