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Finding the Fourth Proportional to 502,097.73, 692,638.66 and 320,618.85

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Solution

The fourth proportional to 502,097.73, 692,638.66 and 320,618.85 is: 442,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,097.73 : 692,638.66 = 320,618.85 : x
  2. Step 2: Convert to fraction form
    502,097.73/692,638.66 = 320,618.85/x
  3. Step 3: Cross multiply
    502,097.73x = 692,638.66 × 320,618.85
  4. Step 4: Simplify right side
    502,097.73x = 222,073,010,634.74
  5. Step 5: Solve for x
    x = 222,073,010,634.74/502,097.73
  6. Step 6: Final answer
    x = 442,290.41

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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.