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Finding the Fourth Proportional to 293,721, 405,336.06 and 159,585

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Solution

The fourth proportional to 293,721, 405,336.06 and 159,585 is: 220,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,721 : 405,336.06 = 159,585 : x
  2. Step 2: Convert to fraction form
    293,721/405,336.06 = 159,585/x
  3. Step 3: Cross multiply
    293,721x = 405,336.06 × 159,585
  4. Step 4: Simplify right side
    293,721x = 64,685,555,135.10
  5. Step 5: Solve for x
    x = 64,685,555,135.10/293,721
  6. Step 6: Final answer
    x = 220,227.89

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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.