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Finding the Fourth Proportional to 419,859.05, 579,383.69 and 238,545.81

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Solution

The fourth proportional to 419,859.05, 579,383.69 and 238,545.81 is: 329,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,859.05 : 579,383.69 = 238,545.81 : x
  2. Step 2: Convert to fraction form
    419,859.05/579,383.69 = 238,545.81/x
  3. Step 3: Cross multiply
    419,859.05x = 579,383.69 × 238,545.81
  4. Step 4: Simplify right side
    419,859.05x = 138,209,550,439.11
  5. Step 5: Solve for x
    x = 138,209,550,439.11/419,859.05
  6. Step 6: Final answer
    x = 329,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.