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Finding the Fourth Proportional to 375,255.40, 517,851.66 and 203,172.52

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Solution

The fourth proportional to 375,255.40, 517,851.66 and 203,172.52 is: 280,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,255.40 : 517,851.66 = 203,172.52 : x
  2. Step 2: Convert to fraction form
    375,255.40/517,851.66 = 203,172.52/x
  3. Step 3: Cross multiply
    375,255.40x = 517,851.66 × 203,172.52
  4. Step 4: Simplify right side
    375,255.40x = 105,213,226,748.38
  5. Step 5: Solve for x
    x = 105,213,226,748.38/375,255.40
  6. Step 6: Final answer
    x = 280,377.65

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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.