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Finding the Fourth Proportional to 354,314.88, 488,894.40 and 203,408.64

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Solution

The fourth proportional to 354,314.88, 488,894.40 and 203,408.64 is: 280,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314.88 : 488,894.40 = 203,408.64 : x
  2. Step 2: Convert to fraction form
    354,314.88/488,894.40 = 203,408.64/x
  3. Step 3: Cross multiply
    354,314.88x = 488,894.40 × 203,408.64
  4. Step 4: Simplify right side
    354,314.88x = 99,445,345,007.62
  5. Step 5: Solve for x
    x = 99,445,345,007.62/354,314.88
  6. Step 6: Final answer
    x = 280,669.40

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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.