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Finding the Fourth Proportional to 503,294.31, 694,562.50 and 288,474.87

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Solution

The fourth proportional to 503,294.31, 694,562.50 and 288,474.87 is: 398,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,294.31 : 694,562.50 = 288,474.87 : x
  2. Step 2: Convert to fraction form
    503,294.31/694,562.50 = 288,474.87/x
  3. Step 3: Cross multiply
    503,294.31x = 694,562.50 × 288,474.87
  4. Step 4: Simplify right side
    503,294.31x = 200,363,824,329.99
  5. Step 5: Solve for x
    x = 200,363,824,329.99/503,294.31
  6. Step 6: Final answer
    x = 398,104.69

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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.