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Finding the Fourth Proportional to 221,841, 306,033.54 and 145,326.72

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Solution

The fourth proportional to 221,841, 306,033.54 and 145,326.72 is: 200,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,841 : 306,033.54 = 145,326.72 : x
  2. Step 2: Convert to fraction form
    221,841/306,033.54 = 145,326.72/x
  3. Step 3: Cross multiply
    221,841x = 306,033.54 × 145,326.72
  4. Step 4: Simplify right side
    221,841x = 44,474,850,578.19
  5. Step 5: Solve for x
    x = 44,474,850,578.19/221,841
  6. Step 6: Final answer
    x = 200,480.75

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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.