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Finding the Fourth Proportional to 503,231.28, 694,475.79 and 288,412.53

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Solution

The fourth proportional to 503,231.28, 694,475.79 and 288,412.53 is: 398,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,231.28 : 694,475.79 = 288,412.53 : x
  2. Step 2: Convert to fraction form
    503,231.28/694,475.79 = 288,412.53/x
  3. Step 3: Cross multiply
    503,231.28x = 694,475.79 × 288,412.53
  4. Step 4: Simplify right side
    503,231.28x = 200,295,519,617.65
  5. Step 5: Solve for x
    x = 200,295,519,617.65/503,231.28
  6. Step 6: Final answer
    x = 398,018.82

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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.