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Finding the Fourth Proportional to 291,318.32, 402,057.60 and 164,018.72

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Solution

The fourth proportional to 291,318.32, 402,057.60 and 164,018.72 is: 226,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,318.32 : 402,057.60 = 164,018.72 : x
  2. Step 2: Convert to fraction form
    291,318.32/402,057.60 = 164,018.72/x
  3. Step 3: Cross multiply
    291,318.32x = 402,057.60 × 164,018.72
  4. Step 4: Simplify right side
    291,318.32x = 65,944,972,918.27
  5. Step 5: Solve for x
    x = 65,944,972,918.27/291,318.32
  6. Step 6: Final answer
    x = 226,367.41

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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.