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Finding the Fourth Proportional to 354,120, 488,671.36 and 192,971.59

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Solution

The fourth proportional to 354,120, 488,671.36 and 192,971.59 is: 266,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,120 : 488,671.36 = 192,971.59 : x
  2. Step 2: Convert to fraction form
    354,120/488,671.36 = 192,971.59/x
  3. Step 3: Cross multiply
    354,120x = 488,671.36 × 192,971.59
  4. Step 4: Simplify right side
    354,120x = 94,299,689,326.66
  5. Step 5: Solve for x
    x = 94,299,689,326.66/354,120
  6. Step 6: Final answer
    x = 266,293.03

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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.