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Finding the Fourth Proportional to 342,100.66, 471,791.19 and 221,114.74

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Solution

The fourth proportional to 342,100.66, 471,791.19 and 221,114.74 is: 304,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,100.66 : 471,791.19 = 221,114.74 : x
  2. Step 2: Convert to fraction form
    342,100.66/471,791.19 = 221,114.74/x
  3. Step 3: Cross multiply
    342,100.66x = 471,791.19 × 221,114.74
  4. Step 4: Simplify right side
    342,100.66x = 104,319,986,311.14
  5. Step 5: Solve for x
    x = 104,319,986,311.14/342,100.66
  6. Step 6: Final answer
    x = 304,939.45

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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.