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Finding the Fourth Proportional to 502,021.44, 692,793.36 and 287,148.24

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Solution

The fourth proportional to 502,021.44, 692,793.36 and 287,148.24 is: 396,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,021.44 : 692,793.36 = 287,148.24 : x
  2. Step 2: Convert to fraction form
    502,021.44/692,793.36 = 287,148.24/x
  3. Step 3: Cross multiply
    502,021.44x = 692,793.36 × 287,148.24
  4. Step 4: Simplify right side
    502,021.44x = 198,934,394,007.69
  5. Step 5: Solve for x
    x = 198,934,394,007.69/502,021.44
  6. Step 6: Final answer
    x = 396,266.73

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1.5x scale

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.