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Finding the Fourth Proportional to 409,053.78, 613,375.34 and 238,330.75

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Solution

The fourth proportional to 409,053.78, 613,375.34 and 238,330.75 is: 357,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,053.78 : 613,375.34 = 238,330.75 : x
  2. Step 2: Convert to fraction form
    409,053.78/613,375.34 = 238,330.75/x
  3. Step 3: Cross multiply
    409,053.78x = 613,375.34 × 238,330.75
  4. Step 4: Simplify right side
    409,053.78x = 146,186,205,409.53
  5. Step 5: Solve for x
    x = 146,186,205,409.53/409,053.78
  6. Step 6: Final answer
    x = 357,376.50

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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.