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Finding the Fourth Proportional to 279,415.89, 419,119.74 and 69,053.82

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Solution

The fourth proportional to 279,415.89, 419,119.74 and 69,053.82 is: 103,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,415.89 : 419,119.74 = 69,053.82 : x
  2. Step 2: Convert to fraction form
    279,415.89/419,119.74 = 69,053.82/x
  3. Step 3: Cross multiply
    279,415.89x = 419,119.74 × 69,053.82
  4. Step 4: Simplify right side
    279,415.89x = 28,941,819,084.41
  5. Step 5: Solve for x
    x = 28,941,819,084.41/279,415.89
  6. Step 6: Final answer
    x = 103,579.72

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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.