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Finding the Fourth Proportional to 354,102.72, 488,667.24 and 192,957.72

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Solution

The fourth proportional to 354,102.72, 488,667.24 and 192,957.72 is: 266,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,102.72 : 488,667.24 = 192,957.72 : x
  2. Step 2: Convert to fraction form
    354,102.72/488,667.24 = 192,957.72/x
  3. Step 3: Cross multiply
    354,102.72x = 488,667.24 × 192,957.72
  4. Step 4: Simplify right side
    354,102.72x = 94,292,116,469.09
  5. Step 5: Solve for x
    x = 94,292,116,469.09/354,102.72
  6. Step 6: Final answer
    x = 266,284.64

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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.