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Finding the Fourth Proportional to 421,120.80, 631,714.32 and 140,639.04

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Solution

The fourth proportional to 421,120.80, 631,714.32 and 140,639.04 is: 210,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120.80 : 631,714.32 = 140,639.04 : x
  2. Step 2: Convert to fraction form
    421,120.80/631,714.32 = 140,639.04/x
  3. Step 3: Cross multiply
    421,120.80x = 631,714.32 × 140,639.04
  4. Step 4: Simplify right side
    421,120.80x = 88,843,695,519.05
  5. Step 5: Solve for x
    x = 88,843,695,519.05/421,120.80
  6. Step 6: Final answer
    x = 210,969.62

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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.