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Finding the Fourth Proportional to 291,474.72, 402,234.12 and 164,150.28

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Solution

The fourth proportional to 291,474.72, 402,234.12 and 164,150.28 is: 226,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,474.72 : 402,234.12 = 164,150.28 : x
  2. Step 2: Convert to fraction form
    291,474.72/402,234.12 = 164,150.28/x
  3. Step 3: Cross multiply
    291,474.72x = 402,234.12 × 164,150.28
  4. Step 4: Simplify right side
    291,474.72x = 66,026,843,423.55
  5. Step 5: Solve for x
    x = 66,026,843,423.55/291,474.72
  6. Step 6: Final answer
    x = 226,526.83

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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.