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Finding the Fourth Proportional to 540,638.31, 811,290.98 and 274,589.76

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Solution

The fourth proportional to 540,638.31, 811,290.98 and 274,589.76 is: 412,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,638.31 : 811,290.98 = 274,589.76 : x
  2. Step 2: Convert to fraction form
    540,638.31/811,290.98 = 274,589.76/x
  3. Step 3: Cross multiply
    540,638.31x = 811,290.98 × 274,589.76
  4. Step 4: Simplify right side
    540,638.31x = 222,772,194,115.42
  5. Step 5: Solve for x
    x = 222,772,194,115.42/540,638.31
  6. Step 6: Final answer
    x = 412,054.03

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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.