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Finding the Fourth Proportional to 497,893.38, 687,089.72 and 283,033.44

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Solution

The fourth proportional to 497,893.38, 687,089.72 and 283,033.44 is: 390,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,893.38 : 687,089.72 = 283,033.44 : x
  2. Step 2: Convert to fraction form
    497,893.38/687,089.72 = 283,033.44/x
  3. Step 3: Cross multiply
    497,893.38x = 687,089.72 × 283,033.44
  4. Step 4: Simplify right side
    497,893.38x = 194,469,367,747.82
  5. Step 5: Solve for x
    x = 194,469,367,747.82/497,893.38
  6. Step 6: Final answer
    x = 390,584.36

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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.