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Finding the Fourth Proportional to 413,343, 619,436.88 and 223,393.86

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Solution

The fourth proportional to 413,343, 619,436.88 and 223,393.86 is: 334,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343 : 619,436.88 = 223,393.86 : x
  2. Step 2: Convert to fraction form
    413,343/619,436.88 = 223,393.86/x
  3. Step 3: Cross multiply
    413,343x = 619,436.88 × 223,393.86
  4. Step 4: Simplify right side
    413,343x = 138,378,395,649.56
  5. Step 5: Solve for x
    x = 138,378,395,649.56/413,343
  6. Step 6: Final answer
    x = 334,778.61

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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.