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Finding the Fourth Proportional to 541,315.20, 811,914.48 and 141,996

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Solution

The fourth proportional to 541,315.20, 811,914.48 and 141,996 is: 212,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,315.20 : 811,914.48 = 141,996 : x
  2. Step 2: Convert to fraction form
    541,315.20/811,914.48 = 141,996/x
  3. Step 3: Cross multiply
    541,315.20x = 811,914.48 × 141,996
  4. Step 4: Simplify right side
    541,315.20x = 115,288,608,502.08
  5. Step 5: Solve for x
    x = 115,288,608,502.08/541,315.20
  6. Step 6: Final answer
    x = 212,978.70

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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.