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Finding the Fourth Proportional to 291,708, 402,546.96 and 164,376

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Solution

The fourth proportional to 291,708, 402,546.96 and 164,376 is: 226,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,708 : 402,546.96 = 164,376 : x
  2. Step 2: Convert to fraction form
    291,708/402,546.96 = 164,376/x
  3. Step 3: Cross multiply
    291,708x = 402,546.96 × 164,376
  4. Step 4: Simplify right side
    291,708x = 66,169,059,096.96
  5. Step 5: Solve for x
    x = 66,169,059,096.96/291,708
  6. Step 6: Final answer
    x = 226,833.20

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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.