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Finding the Fourth Proportional to 291,381.16, 402,105.06 and 164,057.32

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Solution

The fourth proportional to 291,381.16, 402,105.06 and 164,057.32 is: 226,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,381.16 : 402,105.06 = 164,057.32 : x
  2. Step 2: Convert to fraction form
    291,381.16/402,105.06 = 164,057.32/x
  3. Step 3: Cross multiply
    291,381.16x = 402,105.06 × 164,057.32
  4. Step 4: Simplify right side
    291,381.16x = 65,968,278,502.04
  5. Step 5: Solve for x
    x = 65,968,278,502.04/291,381.16
  6. Step 6: Final answer
    x = 226,398.57

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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.