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Finding the Fourth Proportional to 269,968.80, 404,953.20 and 195,319.20

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Solution

The fourth proportional to 269,968.80, 404,953.20 and 195,319.20 is: 292,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,968.80 : 404,953.20 = 195,319.20 : x
  2. Step 2: Convert to fraction form
    269,968.80/404,953.20 = 195,319.20/x
  3. Step 3: Cross multiply
    269,968.80x = 404,953.20 × 195,319.20
  4. Step 4: Simplify right side
    269,968.80x = 79,095,135,061.44
  5. Step 5: Solve for x
    x = 79,095,135,061.44/269,968.80
  6. Step 6: Final answer
    x = 292,978.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.