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Finding the Fourth Proportional to 503,505.78, 694,817.49 and 288,496.32

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Solution

The fourth proportional to 503,505.78, 694,817.49 and 288,496.32 is: 398,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,505.78 : 694,817.49 = 288,496.32 : x
  2. Step 2: Convert to fraction form
    503,505.78/694,817.49 = 288,496.32/x
  3. Step 3: Cross multiply
    503,505.78x = 694,817.49 × 288,496.32
  4. Step 4: Simplify right side
    503,505.78x = 200,452,288,936.64
  5. Step 5: Solve for x
    x = 200,452,288,936.64/503,505.78
  6. Step 6: Final answer
    x = 398,113.18

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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.