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Finding the Fourth Proportional to 354,987.15, 489,902.18 and 193,857.18

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Solution

The fourth proportional to 354,987.15, 489,902.18 and 193,857.18 is: 267,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,987.15 : 489,902.18 = 193,857.18 : x
  2. Step 2: Convert to fraction form
    354,987.15/489,902.18 = 193,857.18/x
  3. Step 3: Cross multiply
    354,987.15x = 489,902.18 × 193,857.18
  4. Step 4: Simplify right side
    354,987.15x = 94,971,055,090.65
  5. Step 5: Solve for x
    x = 94,971,055,090.65/354,987.15
  6. Step 6: Final answer
    x = 267,533.78

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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.