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Finding the Fourth Proportional to 291,707.28, 402,579.72 and 164,391.48

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Solution

The fourth proportional to 291,707.28, 402,579.72 and 164,391.48 is: 226,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,707.28 : 402,579.72 = 164,391.48 : x
  2. Step 2: Convert to fraction form
    291,707.28/402,579.72 = 164,391.48/x
  3. Step 3: Cross multiply
    291,707.28x = 402,579.72 × 164,391.48
  4. Step 4: Simplify right side
    291,707.28x = 66,180,675,988.79
  5. Step 5: Solve for x
    x = 66,180,675,988.79/291,707.28
  6. Step 6: Final answer
    x = 226,873.58

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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.