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Finding the Fourth Proportional to 375,516.12, 518,212.80 and 205,750.20

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Solution

The fourth proportional to 375,516.12, 518,212.80 and 205,750.20 is: 283,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,516.12 : 518,212.80 = 205,750.20 : x
  2. Step 2: Convert to fraction form
    375,516.12/518,212.80 = 205,750.20/x
  3. Step 3: Cross multiply
    375,516.12x = 518,212.80 × 205,750.20
  4. Step 4: Simplify right side
    375,516.12x = 106,622,387,242.56
  5. Step 5: Solve for x
    x = 106,622,387,242.56/375,516.12
  6. Step 6: Final answer
    x = 283,935.58

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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.