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Finding the Fourth Proportional to 293,264, 404,704.32 and 159,128

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Solution

The fourth proportional to 293,264, 404,704.32 and 159,128 is: 219,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,264 : 404,704.32 = 159,128 : x
  2. Step 2: Convert to fraction form
    293,264/404,704.32 = 159,128/x
  3. Step 3: Cross multiply
    293,264x = 404,704.32 × 159,128
  4. Step 4: Simplify right side
    293,264x = 64,399,789,032.96
  5. Step 5: Solve for x
    x = 64,399,789,032.96/293,264
  6. Step 6: Final answer
    x = 219,596.64

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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.