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Finding the Fourth Proportional to 375,275.78, 517,880.82 and 203,193.86

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Solution

The fourth proportional to 375,275.78, 517,880.82 and 203,193.86 is: 280,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,275.78 : 517,880.82 = 203,193.86 : x
  2. Step 2: Convert to fraction form
    375,275.78/517,880.82 = 203,193.86/x
  3. Step 3: Cross multiply
    375,275.78x = 517,880.82 × 203,193.86
  4. Step 4: Simplify right side
    375,275.78x = 105,230,201,819.80
  5. Step 5: Solve for x
    x = 105,230,201,819.80/375,275.78
  6. Step 6: Final answer
    x = 280,407.66

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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.