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Finding the Fourth Proportional to 280,107.86, 386,578.78 and 171,275.98

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Solution

The fourth proportional to 280,107.86, 386,578.78 and 171,275.98 is: 236,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,107.86 : 386,578.78 = 171,275.98 : x
  2. Step 2: Convert to fraction form
    280,107.86/386,578.78 = 171,275.98/x
  3. Step 3: Cross multiply
    280,107.86x = 386,578.78 × 171,275.98
  4. Step 4: Simplify right side
    280,107.86x = 66,211,659,685.33
  5. Step 5: Solve for x
    x = 66,211,659,685.33/280,107.86
  6. Step 6: Final answer
    x = 236,379.16

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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.