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Finding the Fourth Proportional to 502,464.10, 693,519.66 and 287,727.42

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Solution

The fourth proportional to 502,464.10, 693,519.66 and 287,727.42 is: 397,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,464.10 : 693,519.66 = 287,727.42 : x
  2. Step 2: Convert to fraction form
    502,464.10/693,519.66 = 287,727.42/x
  3. Step 3: Cross multiply
    502,464.10x = 693,519.66 × 287,727.42
  4. Step 4: Simplify right side
    502,464.10x = 199,544,622,491.08
  5. Step 5: Solve for x
    x = 199,544,622,491.08/502,464.10
  6. Step 6: Final answer
    x = 397,132.10

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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.