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Finding the Fourth Proportional to 538,872.06, 743,693.20 and 309,459.40

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Solution

The fourth proportional to 538,872.06, 743,693.20 and 309,459.40 is: 427,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,872.06 : 743,693.20 = 309,459.40 : x
  2. Step 2: Convert to fraction form
    538,872.06/743,693.20 = 309,459.40/x
  3. Step 3: Cross multiply
    538,872.06x = 743,693.20 × 309,459.40
  4. Step 4: Simplify right side
    538,872.06x = 230,142,851,456.08
  5. Step 5: Solve for x
    x = 230,142,851,456.08/538,872.06
  6. Step 6: Final answer
    x = 427,082.55

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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.