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Finding the Fourth Proportional to 280,651.38, 420,991.65 and 140,362.62

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Solution

The fourth proportional to 280,651.38, 420,991.65 and 140,362.62 is: 210,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,651.38 : 420,991.65 = 140,362.62 : x
  2. Step 2: Convert to fraction form
    280,651.38/420,991.65 = 140,362.62/x
  3. Step 3: Cross multiply
    280,651.38x = 420,991.65 × 140,362.62
  4. Step 4: Simplify right side
    280,651.38x = 59,091,490,992.12
  5. Step 5: Solve for x
    x = 59,091,490,992.12/280,651.38
  6. Step 6: Final answer
    x = 210,551.22

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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.