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Finding the Fourth Proportional to 375,387.36, 518,034.68 and 205,627.60

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Solution

The fourth proportional to 375,387.36, 518,034.68 and 205,627.60 is: 283,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,387.36 : 518,034.68 = 205,627.60 : x
  2. Step 2: Convert to fraction form
    375,387.36/518,034.68 = 205,627.60/x
  3. Step 3: Cross multiply
    375,387.36x = 518,034.68 × 205,627.60
  4. Step 4: Simplify right side
    375,387.36x = 106,522,227,965.17
  5. Step 5: Solve for x
    x = 106,522,227,965.17/375,387.36
  6. Step 6: Final answer
    x = 283,766.16

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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.