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Finding the Fourth Proportional to 503,294.73, 694,541.43 and 285,543.69

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Solution

The fourth proportional to 503,294.73, 694,541.43 and 285,543.69 is: 394,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,294.73 : 694,541.43 = 285,543.69 : x
  2. Step 2: Convert to fraction form
    503,294.73/694,541.43 = 285,543.69/x
  3. Step 3: Cross multiply
    503,294.73x = 694,541.43 × 285,543.69
  4. Step 4: Simplify right side
    503,294.73x = 198,321,922,780.08
  5. Step 5: Solve for x
    x = 198,321,922,780.08/503,294.73
  6. Step 6: Final answer
    x = 394,047.29

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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.