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Finding the Fourth Proportional to 375,467.86, 518,147.49 and 205,702.06

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Solution

The fourth proportional to 375,467.86, 518,147.49 and 205,702.06 is: 283,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,467.86 : 518,147.49 = 205,702.06 : x
  2. Step 2: Convert to fraction form
    375,467.86/518,147.49 = 205,702.06/x
  3. Step 3: Cross multiply
    375,467.86x = 518,147.49 × 205,702.06
  4. Step 4: Simplify right side
    375,467.86x = 106,584,006,076.83
  5. Step 5: Solve for x
    x = 106,584,006,076.83/375,467.86
  6. Step 6: Final answer
    x = 283,869.85

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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.