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Finding the Fourth Proportional to 491,138.40, 736,318.80 and 269,522.40

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Solution

The fourth proportional to 491,138.40, 736,318.80 and 269,522.40 is: 404,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,138.40 : 736,318.80 = 269,522.40 : x
  2. Step 2: Convert to fraction form
    491,138.40/736,318.80 = 269,522.40/x
  3. Step 3: Cross multiply
    491,138.40x = 736,318.80 × 269,522.40
  4. Step 4: Simplify right side
    491,138.40x = 198,454,410,141.12
  5. Step 5: Solve for x
    x = 198,454,410,141.12/491,138.40
  6. Step 6: Final answer
    x = 404,070.24

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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.