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Finding the Fourth Proportional to 381,505.44, 526,458.72 and 209,419.20

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Solution

The fourth proportional to 381,505.44, 526,458.72 and 209,419.20 is: 288,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,505.44 : 526,458.72 = 209,419.20 : x
  2. Step 2: Convert to fraction form
    381,505.44/526,458.72 = 209,419.20/x
  3. Step 3: Cross multiply
    381,505.44x = 526,458.72 × 209,419.20
  4. Step 4: Simplify right side
    381,505.44x = 110,250,563,975.42
  5. Step 5: Solve for x
    x = 110,250,563,975.42/381,505.44
  6. Step 6: Final answer
    x = 288,988.18

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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.