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Finding the Fourth Proportional to 290,822.20, 435,695.70 and 165,791.80

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Solution

The fourth proportional to 290,822.20, 435,695.70 and 165,791.80 is: 248,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,822.20 : 435,695.70 = 165,791.80 : x
  2. Step 2: Convert to fraction form
    290,822.20/435,695.70 = 165,791.80/x
  3. Step 3: Cross multiply
    290,822.20x = 435,695.70 × 165,791.80
  4. Step 4: Simplify right side
    290,822.20x = 72,234,774,355.26
  5. Step 5: Solve for x
    x = 72,234,774,355.26/290,822.20
  6. Step 6: Final answer
    x = 248,381.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.