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Finding the Fourth Proportional to 306,915.57, 423,608.85 and 206,255.25

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Solution

The fourth proportional to 306,915.57, 423,608.85 and 206,255.25 is: 284,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,915.57 : 423,608.85 = 206,255.25 : x
  2. Step 2: Convert to fraction form
    306,915.57/423,608.85 = 206,255.25/x
  3. Step 3: Cross multiply
    306,915.57x = 423,608.85 × 206,255.25
  4. Step 4: Simplify right side
    306,915.57x = 87,371,549,258.96
  5. Step 5: Solve for x
    x = 87,371,549,258.96/306,915.57
  6. Step 6: Final answer
    x = 284,676.17

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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.