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Finding the Fourth Proportional to 221,686.42, 331,314.96 and 161,840.94

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Solution

The fourth proportional to 221,686.42, 331,314.96 and 161,840.94 is: 241,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,686.42 : 331,314.96 = 161,840.94 : x
  2. Step 2: Convert to fraction form
    221,686.42/331,314.96 = 161,840.94/x
  3. Step 3: Cross multiply
    221,686.42x = 331,314.96 × 161,840.94
  4. Step 4: Simplify right side
    221,686.42x = 53,620,323,016.58
  5. Step 5: Solve for x
    x = 53,620,323,016.58/221,686.42
  6. Step 6: Final answer
    x = 241,874.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.