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Finding the Fourth Proportional to 280,566.85, 420,850.28 and 140,274.85

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Solution

The fourth proportional to 280,566.85, 420,850.28 and 140,274.85 is: 210,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,566.85 : 420,850.28 = 140,274.85 : x
  2. Step 2: Convert to fraction form
    280,566.85/420,850.28 = 140,274.85/x
  3. Step 3: Cross multiply
    280,566.85x = 420,850.28 × 140,274.85
  4. Step 4: Simplify right side
    280,566.85x = 59,034,709,198.08
  5. Step 5: Solve for x
    x = 59,034,709,198.08/280,566.85
  6. Step 6: Final answer
    x = 210,412.28

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1.5x scale

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.