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Finding the Fourth Proportional to 306,868.50, 460,308.51 and 85,258.26

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Solution

The fourth proportional to 306,868.50, 460,308.51 and 85,258.26 is: 127,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,868.50 : 460,308.51 = 85,258.26 : x
  2. Step 2: Convert to fraction form
    306,868.50/460,308.51 = 85,258.26/x
  3. Step 3: Cross multiply
    306,868.50x = 460,308.51 × 85,258.26
  4. Step 4: Simplify right side
    306,868.50x = 39,245,102,625.79
  5. Step 5: Solve for x
    x = 39,245,102,625.79/306,868.50
  6. Step 6: Final answer
    x = 127,888.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.