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Finding the Fourth Proportional to 354,146.36, 488,707.74 and 192,997.92

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Solution

The fourth proportional to 354,146.36, 488,707.74 and 192,997.92 is: 266,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,146.36 : 488,707.74 = 192,997.92 : x
  2. Step 2: Convert to fraction form
    354,146.36/488,707.74 = 192,997.92/x
  3. Step 3: Cross multiply
    354,146.36x = 488,707.74 × 192,997.92
  4. Step 4: Simplify right side
    354,146.36x = 94,319,577,307.90
  5. Step 5: Solve for x
    x = 94,319,577,307.90/354,146.36
  6. Step 6: Final answer
    x = 266,329.37

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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.