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Finding the Fourth Proportional to 305,915.67, 422,151.35 and 169,957.98

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Solution

The fourth proportional to 305,915.67, 422,151.35 and 169,957.98 is: 234,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,915.67 : 422,151.35 = 169,957.98 : x
  2. Step 2: Convert to fraction form
    305,915.67/422,151.35 = 169,957.98/x
  3. Step 3: Cross multiply
    305,915.67x = 422,151.35 × 169,957.98
  4. Step 4: Simplify right side
    305,915.67x = 71,747,989,850.48
  5. Step 5: Solve for x
    x = 71,747,989,850.48/305,915.67
  6. Step 6: Final answer
    x = 234,535.19

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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.