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Finding the Fourth Proportional to 354,247.59, 488,837.24 and 199,222.05

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Solution

The fourth proportional to 354,247.59, 488,837.24 and 199,222.05 is: 274,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,247.59 : 488,837.24 = 199,222.05 : x
  2. Step 2: Convert to fraction form
    354,247.59/488,837.24 = 199,222.05/x
  3. Step 3: Cross multiply
    354,247.59x = 488,837.24 × 199,222.05
  4. Step 4: Simplify right side
    354,247.59x = 97,387,157,069.14
  5. Step 5: Solve for x
    x = 97,387,157,069.14/354,247.59
  6. Step 6: Final answer
    x = 274,912.69

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1.5x scale

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.