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Finding the Fourth Proportional to 280,069.16, 420,278.70 and 113,857.16

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Solution

The fourth proportional to 280,069.16, 420,278.70 and 113,857.16 is: 170,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,069.16 : 420,278.70 = 113,857.16 : x
  2. Step 2: Convert to fraction form
    280,069.16/420,278.70 = 113,857.16/x
  3. Step 3: Cross multiply
    280,069.16x = 420,278.70 × 113,857.16
  4. Step 4: Simplify right side
    280,069.16x = 47,851,739,190.49
  5. Step 5: Solve for x
    x = 47,851,739,190.49/280,069.16
  6. Step 6: Final answer
    x = 170,856.87

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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.