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Finding the Fourth Proportional to 810,991.80, 1,216,672.47 and 431,712.69

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Solution

The fourth proportional to 810,991.80, 1,216,672.47 and 431,712.69 is: 647,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,991.80 : 1,216,672.47 = 431,712.69 : x
  2. Step 2: Convert to fraction form
    810,991.80/1,216,672.47 = 431,712.69/x
  3. Step 3: Cross multiply
    810,991.80x = 1,216,672.47 × 431,712.69
  4. Step 4: Simplify right side
    810,991.80x = 525,252,944,872.64
  5. Step 5: Solve for x
    x = 525,252,944,872.64/810,991.80
  6. Step 6: Final answer
    x = 647,667.39

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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.