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Finding the Fourth Proportional to 274,858.56, 379,352.16 and 161,686.08

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Solution

The fourth proportional to 274,858.56, 379,352.16 and 161,686.08 is: 223,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,858.56 : 379,352.16 = 161,686.08 : x
  2. Step 2: Convert to fraction form
    274,858.56/379,352.16 = 161,686.08/x
  3. Step 3: Cross multiply
    274,858.56x = 379,352.16 × 161,686.08
  4. Step 4: Simplify right side
    274,858.56x = 61,335,963,689.93
  5. Step 5: Solve for x
    x = 61,335,963,689.93/274,858.56
  6. Step 6: Final answer
    x = 223,154.64

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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.