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Finding the Fourth Proportional to 305,872.64, 422,089.96 and 169,915.40

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Solution

The fourth proportional to 305,872.64, 422,089.96 and 169,915.40 is: 234,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872.64 : 422,089.96 = 169,915.40 : x
  2. Step 2: Convert to fraction form
    305,872.64/422,089.96 = 169,915.40/x
  3. Step 3: Cross multiply
    305,872.64x = 422,089.96 × 169,915.40
  4. Step 4: Simplify right side
    305,872.64x = 71,719,584,389.38
  5. Step 5: Solve for x
    x = 71,719,584,389.38/305,872.64
  6. Step 6: Final answer
    x = 234,475.32

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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.