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Finding the Fourth Proportional to 503,507.48, 694,759 and 288,608

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Solution

The fourth proportional to 503,507.48, 694,759 and 288,608 is: 398,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,507.48 : 694,759 = 288,608 : x
  2. Step 2: Convert to fraction form
    503,507.48/694,759 = 288,608/x
  3. Step 3: Cross multiply
    503,507.48x = 694,759 × 288,608
  4. Step 4: Simplify right side
    503,507.48x = 200,513,005,472
  5. Step 5: Solve for x
    x = 200,513,005,472/503,507.48
  6. Step 6: Final answer
    x = 398,232.43

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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.