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Finding the Fourth Proportional to 421,872.99, 632,894.13 and 155,634.90

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Solution

The fourth proportional to 421,872.99, 632,894.13 and 155,634.90 is: 233,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,872.99 : 632,894.13 = 155,634.90 : x
  2. Step 2: Convert to fraction form
    421,872.99/632,894.13 = 155,634.90/x
  3. Step 3: Cross multiply
    421,872.99x = 632,894.13 × 155,634.90
  4. Step 4: Simplify right side
    421,872.99x = 98,500,414,633.14
  5. Step 5: Solve for x
    x = 98,500,414,633.14/421,872.99
  6. Step 6: Final answer
    x = 233,483.58

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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.