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Finding the Fourth Proportional to 354,145, 488,720.10 and 195,169

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Solution

The fourth proportional to 354,145, 488,720.10 and 195,169 is: 269,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,145 : 488,720.10 = 195,169 : x
  2. Step 2: Convert to fraction form
    354,145/488,720.10 = 195,169/x
  3. Step 3: Cross multiply
    354,145x = 488,720.10 × 195,169
  4. Step 4: Simplify right side
    354,145x = 95,383,013,196.90
  5. Step 5: Solve for x
    x = 95,383,013,196.90/354,145
  6. Step 6: Final answer
    x = 269,333.22

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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.