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Finding the Fourth Proportional to 291,269.52, 401,941.44 and 163,956.96

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Solution

The fourth proportional to 291,269.52, 401,941.44 and 163,956.96 is: 226,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,269.52 : 401,941.44 = 163,956.96 : x
  2. Step 2: Convert to fraction form
    291,269.52/401,941.44 = 163,956.96/x
  3. Step 3: Cross multiply
    291,269.52x = 401,941.44 × 163,956.96
  4. Step 4: Simplify right side
    291,269.52x = 65,901,096,600.42
  5. Step 5: Solve for x
    x = 65,901,096,600.42/291,269.52
  6. Step 6: Final answer
    x = 226,254.70

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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.