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Finding the Fourth Proportional to 419,204, 578,545.26 and 237,964.88

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Solution

The fourth proportional to 419,204, 578,545.26 and 237,964.88 is: 328,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,204 : 578,545.26 = 237,964.88 : x
  2. Step 2: Convert to fraction form
    419,204/578,545.26 = 237,964.88/x
  3. Step 3: Cross multiply
    419,204x = 578,545.26 × 237,964.88
  4. Step 4: Simplify right side
    419,204x = 137,673,453,370.47
  5. Step 5: Solve for x
    x = 137,673,453,370.47/419,204
  6. Step 6: Final answer
    x = 328,416.36

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1.5x scale

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.