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Finding the Fourth Proportional to 294,816, 406,845.72 and 160,680

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Solution

The fourth proportional to 294,816, 406,845.72 and 160,680 is: 221,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,816 : 406,845.72 = 160,680 : x
  2. Step 2: Convert to fraction form
    294,816/406,845.72 = 160,680/x
  3. Step 3: Cross multiply
    294,816x = 406,845.72 × 160,680
  4. Step 4: Simplify right side
    294,816x = 65,371,970,289.60
  5. Step 5: Solve for x
    x = 65,371,970,289.60/294,816
  6. Step 6: Final answer
    x = 221,738.20

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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.