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Finding the Fourth Proportional to 354,147.64, 488,709.48 and 192,999.23

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Solution

The fourth proportional to 354,147.64, 488,709.48 and 192,999.23 is: 266,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,147.64 : 488,709.48 = 192,999.23 : x
  2. Step 2: Convert to fraction form
    354,147.64/488,709.48 = 192,999.23/x
  3. Step 3: Cross multiply
    354,147.64x = 488,709.48 × 192,999.23
  4. Step 4: Simplify right side
    354,147.64x = 94,320,553,333.70
  5. Step 5: Solve for x
    x = 94,320,553,333.70/354,147.64
  6. Step 6: Final answer
    x = 266,331.16

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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.