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Finding the Fourth Proportional to 503,047.35, 694,204.85 and 288,188.27

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Solution

The fourth proportional to 503,047.35, 694,204.85 and 288,188.27 is: 397,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,047.35 : 694,204.85 = 288,188.27 : x
  2. Step 2: Convert to fraction form
    503,047.35/694,204.85 = 288,188.27/x
  3. Step 3: Cross multiply
    503,047.35x = 694,204.85 × 288,188.27
  4. Step 4: Simplify right side
    503,047.35x = 200,061,693,306.17
  5. Step 5: Solve for x
    x = 200,061,693,306.17/503,047.35
  6. Step 6: Final answer
    x = 397,699.53

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1.5x scale

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.