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Finding the Fourth Proportional to 421,997.92, 632,678.51 and 137,518.59

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Solution

The fourth proportional to 421,997.92, 632,678.51 and 137,518.59 is: 206,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,997.92 : 632,678.51 = 137,518.59 : x
  2. Step 2: Convert to fraction form
    421,997.92/632,678.51 = 137,518.59/x
  3. Step 3: Cross multiply
    421,997.92x = 632,678.51 × 137,518.59
  4. Step 4: Simplify right side
    421,997.92x = 87,005,059,334.84
  5. Step 5: Solve for x
    x = 87,005,059,334.84/421,997.92
  6. Step 6: Final answer
    x = 206,174.14

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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.