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Finding the Fourth Proportional to 294,858, 406,904.22 and 160,722

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Solution

The fourth proportional to 294,858, 406,904.22 and 160,722 is: 221,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,858 : 406,904.22 = 160,722 : x
  2. Step 2: Convert to fraction form
    294,858/406,904.22 = 160,722/x
  3. Step 3: Cross multiply
    294,858x = 406,904.22 × 160,722
  4. Step 4: Simplify right side
    294,858x = 65,398,460,046.84
  5. Step 5: Solve for x
    x = 65,398,460,046.84/294,858
  6. Step 6: Final answer
    x = 221,796.46

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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.