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Finding the Fourth Proportional to 344,978.76, 517,431.78 and 92,284.78

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Solution

The fourth proportional to 344,978.76, 517,431.78 and 92,284.78 is: 138,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,978.76 : 517,431.78 = 92,284.78 : x
  2. Step 2: Convert to fraction form
    344,978.76/517,431.78 = 92,284.78/x
  3. Step 3: Cross multiply
    344,978.76x = 517,431.78 × 92,284.78
  4. Step 4: Simplify right side
    344,978.76x = 47,751,077,982.31
  5. Step 5: Solve for x
    x = 47,751,077,982.31/344,978.76
  6. Step 6: Final answer
    x = 138,417.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.