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Finding the Fourth Proportional to 354,268.29, 488,876.27 and 193,119.87

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Solution

The fourth proportional to 354,268.29, 488,876.27 and 193,119.87 is: 266,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,268.29 : 488,876.27 = 193,119.87 : x
  2. Step 2: Convert to fraction form
    354,268.29/488,876.27 = 193,119.87/x
  3. Step 3: Cross multiply
    354,268.29x = 488,876.27 × 193,119.87
  4. Step 4: Simplify right side
    354,268.29x = 94,411,720,742.89
  5. Step 5: Solve for x
    x = 94,411,720,742.89/354,268.29
  6. Step 6: Final answer
    x = 266,497.80

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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.