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Finding the Fourth Proportional to 280,618, 387,380.32 and 178,783.12

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Solution

The fourth proportional to 280,618, 387,380.32 and 178,783.12 is: 246,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,618 : 387,380.32 = 178,783.12 : x
  2. Step 2: Convert to fraction form
    280,618/387,380.32 = 178,783.12/x
  3. Step 3: Cross multiply
    280,618x = 387,380.32 × 178,783.12
  4. Step 4: Simplify right side
    280,618x = 69,257,062,236.20
  5. Step 5: Solve for x
    x = 69,257,062,236.20/280,618
  6. Step 6: Final answer
    x = 246,801.92

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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.