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Finding the Fourth Proportional to 354,146.64, 488,708.10 and 192,998.23

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Solution

The fourth proportional to 354,146.64, 488,708.10 and 192,998.23 is: 266,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,146.64 : 488,708.10 = 192,998.23 : x
  2. Step 2: Convert to fraction form
    354,146.64/488,708.10 = 192,998.23/x
  3. Step 3: Cross multiply
    354,146.64x = 488,708.10 × 192,998.23
  4. Step 4: Simplify right side
    354,146.64x = 94,319,798,286.66
  5. Step 5: Solve for x
    x = 94,319,798,286.66/354,146.64
  6. Step 6: Final answer
    x = 266,329.78

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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.