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Finding the Fourth Proportional to 375,103.54, 517,643.76 and 205,348.60

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Solution

The fourth proportional to 375,103.54, 517,643.76 and 205,348.60 is: 283,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,103.54 : 517,643.76 = 205,348.60 : x
  2. Step 2: Convert to fraction form
    375,103.54/517,643.76 = 205,348.60/x
  3. Step 3: Cross multiply
    375,103.54x = 517,643.76 × 205,348.60
  4. Step 4: Simplify right side
    375,103.54x = 106,297,421,414.74
  5. Step 5: Solve for x
    x = 106,297,421,414.74/375,103.54
  6. Step 6: Final answer
    x = 283,381.55

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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.