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Finding the Fourth Proportional to 409,057.09, 613,380.30 and 238,334.07

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Solution

The fourth proportional to 409,057.09, 613,380.30 and 238,334.07 is: 357,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,057.09 : 613,380.30 = 238,334.07 : x
  2. Step 2: Convert to fraction form
    409,057.09/613,380.30 = 238,334.07/x
  3. Step 3: Cross multiply
    409,057.09x = 613,380.30 × 238,334.07
  4. Step 4: Simplify right side
    409,057.09x = 146,189,423,356.82
  5. Step 5: Solve for x
    x = 146,189,423,356.82/409,057.09
  6. Step 6: Final answer
    x = 357,381.47

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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.