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Finding the Fourth Proportional to 354,200.85, 488,792.87 and 193,055.40

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Solution

The fourth proportional to 354,200.85, 488,792.87 and 193,055.40 is: 266,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,200.85 : 488,792.87 = 193,055.40 : x
  2. Step 2: Convert to fraction form
    354,200.85/488,792.87 = 193,055.40/x
  3. Step 3: Cross multiply
    354,200.85x = 488,792.87 × 193,055.40
  4. Step 4: Simplify right side
    354,200.85x = 94,364,099,625.76
  5. Step 5: Solve for x
    x = 94,364,099,625.76/354,200.85
  6. Step 6: Final answer
    x = 266,414.10

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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.