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Finding the Fourth Proportional to 305,265.14, 421,291.11 and 169,342.90

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Solution

The fourth proportional to 305,265.14, 421,291.11 and 169,342.90 is: 233,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,265.14 : 421,291.11 = 169,342.90 : x
  2. Step 2: Convert to fraction form
    305,265.14/421,291.11 = 169,342.90/x
  3. Step 3: Cross multiply
    305,265.14x = 421,291.11 × 169,342.90
  4. Step 4: Simplify right side
    305,265.14x = 71,342,660,025.05
  5. Step 5: Solve for x
    x = 71,342,660,025.05/305,265.14
  6. Step 6: Final answer
    x = 233,707.19

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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.