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Finding the Fourth Proportional to 361,018.26, 498,186.20 and 197,643.49

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Solution

The fourth proportional to 361,018.26, 498,186.20 and 197,643.49 is: 272,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,018.26 : 498,186.20 = 197,643.49 : x
  2. Step 2: Convert to fraction form
    361,018.26/498,186.20 = 197,643.49/x
  3. Step 3: Cross multiply
    361,018.26x = 498,186.20 × 197,643.49
  4. Step 4: Simplify right side
    361,018.26x = 98,463,258,486.48
  5. Step 5: Solve for x
    x = 98,463,258,486.48/361,018.26
  6. Step 6: Final answer
    x = 272,737.61

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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.