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Finding the Fourth Proportional to 305,265, 421,251 and 169,288.20

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Solution

The fourth proportional to 305,265, 421,251 and 169,288.20 is: 233,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,265 : 421,251 = 169,288.20 : x
  2. Step 2: Convert to fraction form
    305,265/421,251 = 169,288.20/x
  3. Step 3: Cross multiply
    305,265x = 421,251 × 169,288.20
  4. Step 4: Simplify right side
    305,265x = 71,312,823,538.20
  5. Step 5: Solve for x
    x = 71,312,823,538.20/305,265
  6. Step 6: Final answer
    x = 233,609.56

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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.