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Finding the Fourth Proportional to 354,120.94, 488,686.14 and 192,975.60

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Solution

The fourth proportional to 354,120.94, 488,686.14 and 192,975.60 is: 266,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,120.94 : 488,686.14 = 192,975.60 : x
  2. Step 2: Convert to fraction form
    354,120.94/488,686.14 = 192,975.60/x
  3. Step 3: Cross multiply
    354,120.94x = 488,686.14 × 192,975.60
  4. Step 4: Simplify right side
    354,120.94x = 94,304,501,078.18
  5. Step 5: Solve for x
    x = 94,304,501,078.18/354,120.94
  6. Step 6: Final answer
    x = 266,305.92

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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.