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Finding the Fourth Proportional to 369,514.66, 509,930.98 and 199,748.78

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Solution

The fourth proportional to 369,514.66, 509,930.98 and 199,748.78 is: 275,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,514.66 : 509,930.98 = 199,748.78 : x
  2. Step 2: Convert to fraction form
    369,514.66/509,930.98 = 199,748.78/x
  3. Step 3: Cross multiply
    369,514.66x = 509,930.98 × 199,748.78
  4. Step 4: Simplify right side
    369,514.66x = 101,858,092,870.78
  5. Step 5: Solve for x
    x = 101,858,092,870.78/369,514.66
  6. Step 6: Final answer
    x = 275,653.73

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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.