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Finding the Fourth Proportional to 218,418.89, 301,511.06 and 146,840.43

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Solution

The fourth proportional to 218,418.89, 301,511.06 and 146,840.43 is: 202,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,418.89 : 301,511.06 = 146,840.43 : x
  2. Step 2: Convert to fraction form
    218,418.89/301,511.06 = 146,840.43/x
  3. Step 3: Cross multiply
    218,418.89x = 301,511.06 × 146,840.43
  4. Step 4: Simplify right side
    218,418.89x = 44,274,012,965.95
  5. Step 5: Solve for x
    x = 44,274,012,965.95/218,418.89
  6. Step 6: Final answer
    x = 202,702.31

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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.