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Finding the Fourth Proportional to 510,922.49, 699,967.17 and 491,768.62

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Solution

The fourth proportional to 510,922.49, 699,967.17 and 491,768.62 is: 673,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,922.49 : 699,967.17 = 491,768.62 : x
  2. Step 2: Convert to fraction form
    510,922.49/699,967.17 = 491,768.62/x
  3. Step 3: Cross multiply
    510,922.49x = 699,967.17 × 491,768.62
  4. Step 4: Simplify right side
    510,922.49x = 344,221,887,486.29
  5. Step 5: Solve for x
    x = 344,221,887,486.29/510,922.49
  6. Step 6: Final answer
    x = 673,726.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.