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Finding the Fourth Proportional to 285,292, 393,806.64 and 166,060

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Solution

The fourth proportional to 285,292, 393,806.64 and 166,060 is: 229,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,292 : 393,806.64 = 166,060 : x
  2. Step 2: Convert to fraction form
    285,292/393,806.64 = 166,060/x
  3. Step 3: Cross multiply
    285,292x = 393,806.64 × 166,060
  4. Step 4: Simplify right side
    285,292x = 65,395,530,638.40
  5. Step 5: Solve for x
    x = 65,395,530,638.40/285,292
  6. Step 6: Final answer
    x = 229,223.15

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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.