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Finding the Fourth Proportional to 375,113.25, 517,656.69 and 205,347.78

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Solution

The fourth proportional to 375,113.25, 517,656.69 and 205,347.78 is: 283,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,113.25 : 517,656.69 = 205,347.78 : x
  2. Step 2: Convert to fraction form
    375,113.25/517,656.69 = 205,347.78/x
  3. Step 3: Cross multiply
    375,113.25x = 517,656.69 × 205,347.78
  4. Step 4: Simplify right side
    375,113.25x = 106,299,652,093.65
  5. Step 5: Solve for x
    x = 106,299,652,093.65/375,113.25
  6. Step 6: Final answer
    x = 283,380.16

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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.