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Finding the Fourth Proportional to 279,435.24, 419,156.51 and 121,657.77

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Solution

The fourth proportional to 279,435.24, 419,156.51 and 121,657.77 is: 182,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,435.24 : 419,156.51 = 121,657.77 : x
  2. Step 2: Convert to fraction form
    279,435.24/419,156.51 = 121,657.77/x
  3. Step 3: Cross multiply
    279,435.24x = 419,156.51 × 121,657.77
  4. Step 4: Simplify right side
    279,435.24x = 50,993,645,679.29
  5. Step 5: Solve for x
    x = 50,993,645,679.29/279,435.24
  6. Step 6: Final answer
    x = 182,488.24

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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.