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Finding the Fourth Proportional to 285,306.80, 427,960.20 and 202,362.80

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Solution

The fourth proportional to 285,306.80, 427,960.20 and 202,362.80 is: 303,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,306.80 : 427,960.20 = 202,362.80 : x
  2. Step 2: Convert to fraction form
    285,306.80/427,960.20 = 202,362.80/x
  3. Step 3: Cross multiply
    285,306.80x = 427,960.20 × 202,362.80
  4. Step 4: Simplify right side
    285,306.80x = 86,603,224,360.56
  5. Step 5: Solve for x
    x = 86,603,224,360.56/285,306.80
  6. Step 6: Final answer
    x = 303,544.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.