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Finding the Fourth Proportional to 280,137, 386,478.86 and 172,520.20

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Solution

The fourth proportional to 280,137, 386,478.86 and 172,520.20 is: 238,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,137 : 386,478.86 = 172,520.20 : x
  2. Step 2: Convert to fraction form
    280,137/386,478.86 = 172,520.20/x
  3. Step 3: Cross multiply
    280,137x = 386,478.86 × 172,520.20
  4. Step 4: Simplify right side
    280,137x = 66,675,410,222.97
  5. Step 5: Solve for x
    x = 66,675,410,222.97/280,137
  6. Step 6: Final answer
    x = 238,010.01

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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.