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Finding the Fourth Proportional to 291,528.22, 402,311.19 and 164,191.90

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Solution

The fourth proportional to 291,528.22, 402,311.19 and 164,191.90 is: 226,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,528.22 : 402,311.19 = 164,191.90 : x
  2. Step 2: Convert to fraction form
    291,528.22/402,311.19 = 164,191.90/x
  3. Step 3: Cross multiply
    291,528.22x = 402,311.19 × 164,191.90
  4. Step 4: Simplify right side
    291,528.22x = 66,056,238,677.36
  5. Step 5: Solve for x
    x = 66,056,238,677.36/291,528.22
  6. Step 6: Final answer
    x = 226,586.09

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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.