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Finding the Fourth Proportional to 773,145, 1,067,406.66 and 505,339.56

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Solution

The fourth proportional to 773,145, 1,067,406.66 and 505,339.56 is: 697,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,145 : 1,067,406.66 = 505,339.56 : x
  2. Step 2: Convert to fraction form
    773,145/1,067,406.66 = 505,339.56/x
  3. Step 3: Cross multiply
    773,145x = 1,067,406.66 × 505,339.56
  4. Step 4: Simplify right side
    773,145x = 539,402,811,905.47
  5. Step 5: Solve for x
    x = 539,402,811,905.47/773,145
  6. Step 6: Final answer
    x = 697,673.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.