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Finding the Fourth Proportional to 280,245.86, 386,747.83 and 159,404.56

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Solution

The fourth proportional to 280,245.86, 386,747.83 and 159,404.56 is: 219,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,245.86 : 386,747.83 = 159,404.56 : x
  2. Step 2: Convert to fraction form
    280,245.86/386,747.83 = 159,404.56/x
  3. Step 3: Cross multiply
    280,245.86x = 386,747.83 × 159,404.56
  4. Step 4: Simplify right side
    280,245.86x = 61,649,366,904.49
  5. Step 5: Solve for x
    x = 61,649,366,904.49/280,245.86
  6. Step 6: Final answer
    x = 219,983.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.