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Finding the Fourth Proportional to 541,234.72, 811,855.52 and 141,872

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Solution

The fourth proportional to 541,234.72, 811,855.52 and 141,872 is: 212,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,234.72 : 811,855.52 = 141,872 : x
  2. Step 2: Convert to fraction form
    541,234.72/811,855.52 = 141,872/x
  3. Step 3: Cross multiply
    541,234.72x = 811,855.52 × 141,872
  4. Step 4: Simplify right side
    541,234.72x = 115,179,566,333.44
  5. Step 5: Solve for x
    x = 115,179,566,333.44/541,234.72
  6. Step 6: Final answer
    x = 212,808.90

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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.