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Finding the Fourth Proportional to 305,214.25, 421,175.12 and 169,243.20

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Solution

The fourth proportional to 305,214.25, 421,175.12 and 169,243.20 is: 233,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,214.25 : 421,175.12 = 169,243.20 : x
  2. Step 2: Convert to fraction form
    305,214.25/421,175.12 = 169,243.20/x
  3. Step 3: Cross multiply
    305,214.25x = 421,175.12 × 169,243.20
  4. Step 4: Simplify right side
    305,214.25x = 71,281,025,069.18
  5. Step 5: Solve for x
    x = 71,281,025,069.18/305,214.25
  6. Step 6: Final answer
    x = 233,544.22

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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.