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Finding the Fourth Proportional to 280,186.97, 420,403.50 and 147,036.11

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Solution

The fourth proportional to 280,186.97, 420,403.50 and 147,036.11 is: 220,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,186.97 : 420,403.50 = 147,036.11 : x
  2. Step 2: Convert to fraction form
    280,186.97/420,403.50 = 147,036.11/x
  3. Step 3: Cross multiply
    280,186.97x = 420,403.50 × 147,036.11
  4. Step 4: Simplify right side
    280,186.97x = 61,814,493,168.37
  5. Step 5: Solve for x
    x = 61,814,493,168.37/280,186.97
  6. Step 6: Final answer
    x = 220,618.73

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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.