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Finding the Fourth Proportional to 421,265.43, 631,898.19 and 140,782.68

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Solution

The fourth proportional to 421,265.43, 631,898.19 and 140,782.68 is: 211,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,265.43 : 631,898.19 = 140,782.68 : x
  2. Step 2: Convert to fraction form
    421,265.43/631,898.19 = 140,782.68/x
  3. Step 3: Cross multiply
    421,265.43x = 631,898.19 × 140,782.68
  4. Step 4: Simplify right side
    421,265.43x = 88,960,320,675.35
  5. Step 5: Solve for x
    x = 88,960,320,675.35/421,265.43
  6. Step 6: Final answer
    x = 211,174.04

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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.