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Finding the Fourth Proportional to 259,748.90, 389,623.35 and 82,310.30

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Solution

The fourth proportional to 259,748.90, 389,623.35 and 82,310.30 is: 123,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,748.90 : 389,623.35 = 82,310.30 : x
  2. Step 2: Convert to fraction form
    259,748.90/389,623.35 = 82,310.30/x
  3. Step 3: Cross multiply
    259,748.90x = 389,623.35 × 82,310.30
  4. Step 4: Simplify right side
    259,748.90x = 32,070,014,825.51
  5. Step 5: Solve for x
    x = 32,070,014,825.51/259,748.90
  6. Step 6: Final answer
    x = 123,465.45

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Similar ratio
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1.5x scale

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.