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Finding the Fourth Proportional to 306,176.85, 422,531.10 and 170,205.57

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Solution

The fourth proportional to 306,176.85, 422,531.10 and 170,205.57 is: 234,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,176.85 : 422,531.10 = 170,205.57 : x
  2. Step 2: Convert to fraction form
    306,176.85/422,531.10 = 170,205.57/x
  3. Step 3: Cross multiply
    306,176.85x = 422,531.10 × 170,205.57
  4. Step 4: Simplify right side
    306,176.85x = 71,917,146,718.23
  5. Step 5: Solve for x
    x = 71,917,146,718.23/306,176.85
  6. Step 6: Final answer
    x = 234,887.60

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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.