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Finding the Fourth Proportional to 353,976, 488,486.88 and 195,000

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Solution

The fourth proportional to 353,976, 488,486.88 and 195,000 is: 269,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,976 : 488,486.88 = 195,000 : x
  2. Step 2: Convert to fraction form
    353,976/488,486.88 = 195,000/x
  3. Step 3: Cross multiply
    353,976x = 488,486.88 × 195,000
  4. Step 4: Simplify right side
    353,976x = 95,254,941,600
  5. Step 5: Solve for x
    x = 95,254,941,600/353,976
  6. Step 6: Final answer
    x = 269,100

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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.