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Finding the Fourth Proportional to 381,843.64, 526,913.31 and 220,709.08

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Solution

The fourth proportional to 381,843.64, 526,913.31 and 220,709.08 is: 304,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,843.64 : 526,913.31 = 220,709.08 : x
  2. Step 2: Convert to fraction form
    381,843.64/526,913.31 = 220,709.08/x
  3. Step 3: Cross multiply
    381,843.64x = 526,913.31 × 220,709.08
  4. Step 4: Simplify right side
    381,843.64x = 116,294,551,889.86
  5. Step 5: Solve for x
    x = 116,294,551,889.86/381,843.64
  6. Step 6: Final answer
    x = 304,560.66

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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.