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Finding the Fourth Proportional to 279,788.34, 419,353.95 and 129,712.74

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Solution

The fourth proportional to 279,788.34, 419,353.95 and 129,712.74 is: 194,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,788.34 : 419,353.95 = 129,712.74 : x
  2. Step 2: Convert to fraction form
    279,788.34/419,353.95 = 129,712.74/x
  3. Step 3: Cross multiply
    279,788.34x = 419,353.95 × 129,712.74
  4. Step 4: Simplify right side
    279,788.34x = 54,395,549,884.32
  5. Step 5: Solve for x
    x = 54,395,549,884.32/279,788.34
  6. Step 6: Final answer
    x = 194,416.79

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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.