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Finding the Fourth Proportional to 445,863.30, 668,401.32 and 341,149.74

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Solution

The fourth proportional to 445,863.30, 668,401.32 and 341,149.74 is: 511,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,863.30 : 668,401.32 = 341,149.74 : x
  2. Step 2: Convert to fraction form
    445,863.30/668,401.32 = 341,149.74/x
  3. Step 3: Cross multiply
    445,863.30x = 668,401.32 × 341,149.74
  4. Step 4: Simplify right side
    445,863.30x = 228,024,936,533.66
  5. Step 5: Solve for x
    x = 228,024,936,533.66/445,863.30
  6. Step 6: Final answer
    x = 511,423.43

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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.