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Finding the Fourth Proportional to 342,101.16, 471,791.88 and 221,115.24

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Solution

The fourth proportional to 342,101.16, 471,791.88 and 221,115.24 is: 304,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,101.16 : 471,791.88 = 221,115.24 : x
  2. Step 2: Convert to fraction form
    342,101.16/471,791.88 = 221,115.24/x
  3. Step 3: Cross multiply
    342,101.16x = 471,791.88 × 221,115.24
  4. Step 4: Simplify right side
    342,101.16x = 104,320,374,776.25
  5. Step 5: Solve for x
    x = 104,320,374,776.25/342,101.16
  6. Step 6: Final answer
    x = 304,940.14

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1.5x scale

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.