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Finding the Fourth Proportional to 543,080.12, 815,216.10 and 431,477.72

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Solution

The fourth proportional to 543,080.12, 815,216.10 and 431,477.72 is: 647,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,080.12 : 815,216.10 = 431,477.72 : x
  2. Step 2: Convert to fraction form
    543,080.12/815,216.10 = 431,477.72/x
  3. Step 3: Cross multiply
    543,080.12x = 815,216.10 × 431,477.72
  4. Step 4: Simplify right side
    543,080.12x = 351,747,584,135.29
  5. Step 5: Solve for x
    x = 351,747,584,135.29/543,080.12
  6. Step 6: Final answer
    x = 647,690.04

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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.