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Finding the Fourth Proportional to 358,978.60, 538,467.90 and 274,997.80

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Solution

The fourth proportional to 358,978.60, 538,467.90 and 274,997.80 is: 412,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,978.60 : 538,467.90 = 274,997.80 : x
  2. Step 2: Convert to fraction form
    358,978.60/538,467.90 = 274,997.80/x
  3. Step 3: Cross multiply
    358,978.60x = 538,467.90 × 274,997.80
  4. Step 4: Simplify right side
    358,978.60x = 148,077,487,870.62
  5. Step 5: Solve for x
    x = 148,077,487,870.62/358,978.60
  6. Step 6: Final answer
    x = 412,496.70

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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.