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Finding the Fourth Proportional to 420,777.57, 631,479.84 and 308,747.28

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Solution

The fourth proportional to 420,777.57, 631,479.84 and 308,747.28 is: 463,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,777.57 : 631,479.84 = 308,747.28 : x
  2. Step 2: Convert to fraction form
    420,777.57/631,479.84 = 308,747.28/x
  3. Step 3: Cross multiply
    420,777.57x = 631,479.84 × 308,747.28
  4. Step 4: Simplify right side
    420,777.57x = 194,967,682,974.84
  5. Step 5: Solve for x
    x = 194,967,682,974.84/420,777.57
  6. Step 6: Final answer
    x = 463,350.94

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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.