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Finding the Fourth Proportional to 502,073.32, 692,687.98 and 320,891.30

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Solution

The fourth proportional to 502,073.32, 692,687.98 and 320,891.30 is: 442,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,073.32 : 692,687.98 = 320,891.30 : x
  2. Step 2: Convert to fraction form
    502,073.32/692,687.98 = 320,891.30/x
  3. Step 3: Cross multiply
    502,073.32x = 692,687.98 × 320,891.30
  4. Step 4: Simplify right side
    502,073.32x = 222,277,546,396.57
  5. Step 5: Solve for x
    x = 222,277,546,396.57/502,073.32
  6. Step 6: Final answer
    x = 442,719.30

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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.