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Finding the Fourth Proportional to 375,386.58, 518,033.70 and 205,623.54

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Solution

The fourth proportional to 375,386.58, 518,033.70 and 205,623.54 is: 283,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,386.58 : 518,033.70 = 205,623.54 : x
  2. Step 2: Convert to fraction form
    375,386.58/518,033.70 = 205,623.54/x
  3. Step 3: Cross multiply
    375,386.58x = 518,033.70 × 205,623.54
  4. Step 4: Simplify right side
    375,386.58x = 106,519,923,233.30
  5. Step 5: Solve for x
    x = 106,519,923,233.30/375,386.58
  6. Step 6: Final answer
    x = 283,760.61

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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.