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Finding the Fourth Proportional to 399,322.86, 598,031.73 and 221,388.54

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Solution

The fourth proportional to 399,322.86, 598,031.73 and 221,388.54 is: 331,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,322.86 : 598,031.73 = 221,388.54 : x
  2. Step 2: Convert to fraction form
    399,322.86/598,031.73 = 221,388.54/x
  3. Step 3: Cross multiply
    399,322.86x = 598,031.73 × 221,388.54
  4. Step 4: Simplify right side
    399,322.86x = 132,397,371,578.37
  5. Step 5: Solve for x
    x = 132,397,371,578.37/399,322.86
  6. Step 6: Final answer
    x = 331,554.70

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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.