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Finding the Fourth Proportional to 379,443, 523,718.64 and 218,391.06

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Solution

The fourth proportional to 379,443, 523,718.64 and 218,391.06 is: 301,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,443 : 523,718.64 = 218,391.06 : x
  2. Step 2: Convert to fraction form
    379,443/523,718.64 = 218,391.06/x
  3. Step 3: Cross multiply
    379,443x = 523,718.64 × 218,391.06
  4. Step 4: Simplify right side
    379,443x = 114,375,468,931.36
  5. Step 5: Solve for x
    x = 114,375,468,931.36/379,443
  6. Step 6: Final answer
    x = 301,429.91

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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.