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Finding the Fourth Proportional to 381,461.60, 574,476.50 and 347,410.72

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Solution

The fourth proportional to 381,461.60, 574,476.50 and 347,410.72 is: 523,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,461.60 : 574,476.50 = 347,410.72 : x
  2. Step 2: Convert to fraction form
    381,461.60/574,476.50 = 347,410.72/x
  3. Step 3: Cross multiply
    381,461.60x = 574,476.50 × 347,410.72
  4. Step 4: Simplify right side
    381,461.60x = 199,579,296,074.70
  5. Step 5: Solve for x
    x = 199,579,296,074.70/381,461.60
  6. Step 6: Final answer
    x = 523,196.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.