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Finding the Fourth Proportional to 279,823.80, 419,735.70 and 236,521.20

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Solution

The fourth proportional to 279,823.80, 419,735.70 and 236,521.20 is: 354,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,823.80 : 419,735.70 = 236,521.20 : x
  2. Step 2: Convert to fraction form
    279,823.80/419,735.70 = 236,521.20/x
  3. Step 3: Cross multiply
    279,823.80x = 419,735.70 × 236,521.20
  4. Step 4: Simplify right side
    279,823.80x = 99,276,391,446.84
  5. Step 5: Solve for x
    x = 99,276,391,446.84/279,823.80
  6. Step 6: Final answer
    x = 354,781.80

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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.