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Finding the Fourth Proportional to 397,726.61, 548,862.80 and 218,878.61

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Solution

The fourth proportional to 397,726.61, 548,862.80 and 218,878.61 is: 302,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,726.61 : 548,862.80 = 218,878.61 : x
  2. Step 2: Convert to fraction form
    397,726.61/548,862.80 = 218,878.61/x
  3. Step 3: Cross multiply
    397,726.61x = 548,862.80 × 218,878.61
  4. Step 4: Simplify right side
    397,726.61x = 120,134,322,906.00
  5. Step 5: Solve for x
    x = 120,134,322,906.00/397,726.61
  6. Step 6: Final answer
    x = 302,052.52

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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.