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Finding the Fourth Proportional to 279,531.34, 419,300.65 and 79,858.24

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Solution

The fourth proportional to 279,531.34, 419,300.65 and 79,858.24 is: 119,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,531.34 : 419,300.65 = 79,858.24 : x
  2. Step 2: Convert to fraction form
    279,531.34/419,300.65 = 79,858.24/x
  3. Step 3: Cross multiply
    279,531.34x = 419,300.65 × 79,858.24
  4. Step 4: Simplify right side
    279,531.34x = 33,484,610,991.43
  5. Step 5: Solve for x
    x = 33,484,610,991.43/279,531.34
  6. Step 6: Final answer
    x = 119,788.40

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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.