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Finding the Fourth Proportional to 354,132, 488,702.16 and 195,156

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Solution

The fourth proportional to 354,132, 488,702.16 and 195,156 is: 269,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,132 : 488,702.16 = 195,156 : x
  2. Step 2: Convert to fraction form
    354,132/488,702.16 = 195,156/x
  3. Step 3: Cross multiply
    354,132x = 488,702.16 × 195,156
  4. Step 4: Simplify right side
    354,132x = 95,373,158,736.96
  5. Step 5: Solve for x
    x = 95,373,158,736.96/354,132
  6. Step 6: Final answer
    x = 269,315.28

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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.