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Finding the Fourth Proportional to 305,825.01, 422,033.15 and 169,853.75

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Solution

The fourth proportional to 305,825.01, 422,033.15 and 169,853.75 is: 234,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,825.01 : 422,033.15 = 169,853.75 : x
  2. Step 2: Convert to fraction form
    305,825.01/422,033.15 = 169,853.75/x
  3. Step 3: Cross multiply
    305,825.01x = 422,033.15 × 169,853.75
  4. Step 4: Simplify right side
    305,825.01x = 71,683,913,151.81
  5. Step 5: Solve for x
    x = 71,683,913,151.81/305,825.01
  6. Step 6: Final answer
    x = 234,395.20

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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.