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Finding the Fourth Proportional to 541,396.78, 747,061.70 and 299,664.64

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Solution

The fourth proportional to 541,396.78, 747,061.70 and 299,664.64 is: 413,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,396.78 : 747,061.70 = 299,664.64 : x
  2. Step 2: Convert to fraction form
    541,396.78/747,061.70 = 299,664.64/x
  3. Step 3: Cross multiply
    541,396.78x = 747,061.70 × 299,664.64
  4. Step 4: Simplify right side
    541,396.78x = 223,867,975,388.29
  5. Step 5: Solve for x
    x = 223,867,975,388.29/541,396.78
  6. Step 6: Final answer
    x = 413,500.75

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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.