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Finding the Fourth Proportional to 280,290.64, 386,791.32 and 159,422.80

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Solution

The fourth proportional to 280,290.64, 386,791.32 and 159,422.80 is: 219,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,290.64 : 386,791.32 = 159,422.80 : x
  2. Step 2: Convert to fraction form
    280,290.64/386,791.32 = 159,422.80/x
  3. Step 3: Cross multiply
    280,290.64x = 386,791.32 × 159,422.80
  4. Step 4: Simplify right side
    280,290.64x = 61,663,355,250.10
  5. Step 5: Solve for x
    x = 61,663,355,250.10/280,290.64
  6. Step 6: Final answer
    x = 219,997.91

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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.