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Finding the Fourth Proportional to 491,427, 736,798.44 and 217,724.64

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Solution

The fourth proportional to 491,427, 736,798.44 and 217,724.64 is: 326,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,427 : 736,798.44 = 217,724.64 : x
  2. Step 2: Convert to fraction form
    491,427/736,798.44 = 217,724.64/x
  3. Step 3: Cross multiply
    491,427x = 736,798.44 × 217,724.64
  4. Step 4: Simplify right side
    491,427x = 160,419,175,101.56
  5. Step 5: Solve for x
    x = 160,419,175,101.56/491,427
  6. Step 6: Final answer
    x = 326,435.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.