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Finding the Fourth Proportional to 272,405.40, 408,089.70 and 161,467.80

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Solution

The fourth proportional to 272,405.40, 408,089.70 and 161,467.80 is: 241,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,405.40 : 408,089.70 = 161,467.80 : x
  2. Step 2: Convert to fraction form
    272,405.40/408,089.70 = 161,467.80/x
  3. Step 3: Cross multiply
    272,405.40x = 408,089.70 × 161,467.80
  4. Step 4: Simplify right side
    272,405.40x = 65,893,346,061.66
  5. Step 5: Solve for x
    x = 65,893,346,061.66/272,405.40
  6. Step 6: Final answer
    x = 241,894.42

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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.