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Finding the Fourth Proportional to 556,825.64, 768,411.24 and 327,408.80

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Solution

The fourth proportional to 556,825.64, 768,411.24 and 327,408.80 is: 451,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,825.64 : 768,411.24 = 327,408.80 : x
  2. Step 2: Convert to fraction form
    556,825.64/768,411.24 = 327,408.80/x
  3. Step 3: Cross multiply
    556,825.64x = 768,411.24 × 327,408.80
  4. Step 4: Simplify right side
    556,825.64x = 251,584,601,994.91
  5. Step 5: Solve for x
    x = 251,584,601,994.91/556,825.64
  6. Step 6: Final answer
    x = 451,819.36

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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.