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Finding the Fourth Proportional to 688,538, 950,161.90 and 382,613.44

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Solution

The fourth proportional to 688,538, 950,161.90 and 382,613.44 is: 527,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,538 : 950,161.90 = 382,613.44 : x
  2. Step 2: Convert to fraction form
    688,538/950,161.90 = 382,613.44/x
  3. Step 3: Cross multiply
    688,538x = 950,161.90 × 382,613.44
  4. Step 4: Simplify right side
    688,538x = 363,544,713,115.94
  5. Step 5: Solve for x
    x = 363,544,713,115.94/688,538
  6. Step 6: Final answer
    x = 527,995.13

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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.