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Finding the Fourth Proportional to 307,763.06, 424,720.20 and 193,046.58

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Solution

The fourth proportional to 307,763.06, 424,720.20 and 193,046.58 is: 266,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,763.06 : 424,720.20 = 193,046.58 : x
  2. Step 2: Convert to fraction form
    307,763.06/424,720.20 = 193,046.58/x
  3. Step 3: Cross multiply
    307,763.06x = 424,720.20 × 193,046.58
  4. Step 4: Simplify right side
    307,763.06x = 81,990,782,066.92
  5. Step 5: Solve for x
    x = 81,990,782,066.92/307,763.06
  6. Step 6: Final answer
    x = 266,408.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.