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Finding the Fourth Proportional to 354,138.12, 488,696.34 and 192,989.70

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Solution

The fourth proportional to 354,138.12, 488,696.34 and 192,989.70 is: 266,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,138.12 : 488,696.34 = 192,989.70 : x
  2. Step 2: Convert to fraction form
    354,138.12/488,696.34 = 192,989.70/x
  3. Step 3: Cross multiply
    354,138.12x = 488,696.34 × 192,989.70
  4. Step 4: Simplify right side
    354,138.12x = 94,313,360,047.70
  5. Step 5: Solve for x
    x = 94,313,360,047.70/354,138.12
  6. Step 6: Final answer
    x = 266,318.01

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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.