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Finding the Fourth Proportional to 409,122.67, 613,478.76 and 238,399.69

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Solution

The fourth proportional to 409,122.67, 613,478.76 and 238,399.69 is: 357,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,122.67 : 613,478.76 = 238,399.69 : x
  2. Step 2: Convert to fraction form
    409,122.67/613,478.76 = 238,399.69/x
  3. Step 3: Cross multiply
    409,122.67x = 613,478.76 × 238,399.69
  4. Step 4: Simplify right side
    409,122.67x = 146,253,146,205.58
  5. Step 5: Solve for x
    x = 146,253,146,205.58/409,122.67
  6. Step 6: Final answer
    x = 357,479.94

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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.