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Finding the Fourth Proportional to 298,001.80, 411,242.38 and 163,865.80

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Solution

The fourth proportional to 298,001.80, 411,242.38 and 163,865.80 is: 226,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,001.80 : 411,242.38 = 163,865.80 : x
  2. Step 2: Convert to fraction form
    298,001.80/411,242.38 = 163,865.80/x
  3. Step 3: Cross multiply
    298,001.80x = 411,242.38 × 163,865.80
  4. Step 4: Simplify right side
    298,001.80x = 67,388,561,592.60
  5. Step 5: Solve for x
    x = 67,388,561,592.60/298,001.80
  6. Step 6: Final answer
    x = 226,134.75

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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.