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Finding the Fourth Proportional to 478,164.70, 659,841.51 and 274,224.22

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Solution

The fourth proportional to 478,164.70, 659,841.51 and 274,224.22 is: 378,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,164.70 : 659,841.51 = 274,224.22 : x
  2. Step 2: Convert to fraction form
    478,164.70/659,841.51 = 274,224.22/x
  3. Step 3: Cross multiply
    478,164.70x = 659,841.51 × 274,224.22
  4. Step 4: Simplify right side
    478,164.70x = 180,944,523,403.37
  5. Step 5: Solve for x
    x = 180,944,523,403.37/478,164.70
  6. Step 6: Final answer
    x = 378,414.64

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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.