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Finding the Fourth Proportional to 502,174.68, 693,121.74 and 287,439.24

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Solution

The fourth proportional to 502,174.68, 693,121.74 and 287,439.24 is: 396,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,174.68 : 693,121.74 = 287,439.24 : x
  2. Step 2: Convert to fraction form
    502,174.68/693,121.74 = 287,439.24/x
  3. Step 3: Cross multiply
    502,174.68x = 693,121.74 × 287,439.24
  4. Step 4: Simplify right side
    502,174.68x = 199,230,386,173.08
  5. Step 5: Solve for x
    x = 199,230,386,173.08/502,174.68
  6. Step 6: Final answer
    x = 396,735.23

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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.