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Finding the Fourth Proportional to 543,840.80, 815,761.20 and 493,977.20

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Solution

The fourth proportional to 543,840.80, 815,761.20 and 493,977.20 is: 740,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,840.80 : 815,761.20 = 493,977.20 : x
  2. Step 2: Convert to fraction form
    543,840.80/815,761.20 = 493,977.20/x
  3. Step 3: Cross multiply
    543,840.80x = 815,761.20 × 493,977.20
  4. Step 4: Simplify right side
    543,840.80x = 402,967,433,444.64
  5. Step 5: Solve for x
    x = 402,967,433,444.64/543,840.80
  6. Step 6: Final answer
    x = 740,965.80

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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.