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Finding the Fourth Proportional to 502,072.82, 692,687.29 and 320,890.80

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Solution

The fourth proportional to 502,072.82, 692,687.29 and 320,890.80 is: 442,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,072.82 : 692,687.29 = 320,890.80 : x
  2. Step 2: Convert to fraction form
    502,072.82/692,687.29 = 320,890.80/x
  3. Step 3: Cross multiply
    502,072.82x = 692,687.29 × 320,890.80
  4. Step 4: Simplify right side
    502,072.82x = 222,276,978,637.93
  5. Step 5: Solve for x
    x = 222,276,978,637.93/502,072.82
  6. Step 6: Final answer
    x = 442,718.61

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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.