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Finding the Fourth Proportional to 375,319.50, 517,940.94 and 205,559.70

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Solution

The fourth proportional to 375,319.50, 517,940.94 and 205,559.70 is: 283,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,319.50 : 517,940.94 = 205,559.70 : x
  2. Step 2: Convert to fraction form
    375,319.50/517,940.94 = 205,559.70/x
  3. Step 3: Cross multiply
    375,319.50x = 517,940.94 × 205,559.70
  4. Step 4: Simplify right side
    375,319.50x = 106,467,784,244.12
  5. Step 5: Solve for x
    x = 106,467,784,244.12/375,319.50
  6. Step 6: Final answer
    x = 283,672.40

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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.