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Finding the Fourth Proportional to 342,097.16, 471,786.36 and 221,111.24

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Solution

The fourth proportional to 342,097.16, 471,786.36 and 221,111.24 is: 304,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,097.16 : 471,786.36 = 221,111.24 : x
  2. Step 2: Convert to fraction form
    342,097.16/471,786.36 = 221,111.24/x
  3. Step 3: Cross multiply
    342,097.16x = 471,786.36 × 221,111.24
  4. Step 4: Simplify right side
    342,097.16x = 104,317,267,074.69
  5. Step 5: Solve for x
    x = 104,317,267,074.69/342,097.16
  6. Step 6: Final answer
    x = 304,934.62

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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.