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Finding the Fourth Proportional to 354,284.26, 488,887.76 and 199,258.78

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Solution

The fourth proportional to 354,284.26, 488,887.76 and 199,258.78 is: 274,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,284.26 : 488,887.76 = 199,258.78 : x
  2. Step 2: Convert to fraction form
    354,284.26/488,887.76 = 199,258.78/x
  3. Step 3: Cross multiply
    354,284.26x = 488,887.76 × 199,258.78
  4. Step 4: Simplify right side
    354,284.26x = 97,415,178,614.53
  5. Step 5: Solve for x
    x = 97,415,178,614.53/354,284.26
  6. Step 6: Final answer
    x = 274,963.33

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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.