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Finding the Fourth Proportional to 280,311.75, 386,840.88 and 159,464.07

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Solution

The fourth proportional to 280,311.75, 386,840.88 and 159,464.07 is: 220,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,311.75 : 386,840.88 = 159,464.07 : x
  2. Step 2: Convert to fraction form
    280,311.75/386,840.88 = 159,464.07/x
  3. Step 3: Cross multiply
    280,311.75x = 386,840.88 × 159,464.07
  4. Step 4: Simplify right side
    280,311.75x = 61,687,221,167.18
  5. Step 5: Solve for x
    x = 61,687,221,167.18/280,311.75
  6. Step 6: Final answer
    x = 220,066.48

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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.