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Finding the Fourth Proportional to 279,706.40, 419,559.60 and 80,038.70

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Solution

The fourth proportional to 279,706.40, 419,559.60 and 80,038.70 is: 120,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,706.40 : 419,559.60 = 80,038.70 : x
  2. Step 2: Convert to fraction form
    279,706.40/419,559.60 = 80,038.70/x
  3. Step 3: Cross multiply
    279,706.40x = 419,559.60 × 80,038.70
  4. Step 4: Simplify right side
    279,706.40x = 33,581,004,956.52
  5. Step 5: Solve for x
    x = 33,581,004,956.52/279,706.40
  6. Step 6: Final answer
    x = 120,058.05

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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.