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Finding the Fourth Proportional to 323,648.64, 485,680.32 and 157,345.92

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Solution

The fourth proportional to 323,648.64, 485,680.32 and 157,345.92 is: 236,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,648.64 : 485,680.32 = 157,345.92 : x
  2. Step 2: Convert to fraction form
    323,648.64/485,680.32 = 157,345.92/x
  3. Step 3: Cross multiply
    323,648.64x = 485,680.32 × 157,345.92
  4. Step 4: Simplify right side
    323,648.64x = 76,419,816,776.29
  5. Step 5: Solve for x
    x = 76,419,816,776.29/323,648.64
  6. Step 6: Final answer
    x = 236,119.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.