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Finding the Fourth Proportional to 275,250, 379,845.63 and 160,607.46

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Solution

The fourth proportional to 275,250, 379,845.63 and 160,607.46 is: 221,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,250 : 379,845.63 = 160,607.46 : x
  2. Step 2: Convert to fraction form
    275,250/379,845.63 = 160,607.46/x
  3. Step 3: Cross multiply
    275,250x = 379,845.63 × 160,607.46
  4. Step 4: Simplify right side
    275,250x = 61,006,041,826.40
  5. Step 5: Solve for x
    x = 61,006,041,826.40/275,250
  6. Step 6: Final answer
    x = 221,638.66

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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.