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Finding the Fourth Proportional to 297,470.82, 445,730.52 and 267,257.40

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Solution

The fourth proportional to 297,470.82, 445,730.52 and 267,257.40 is: 400,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,470.82 : 445,730.52 = 267,257.40 : x
  2. Step 2: Convert to fraction form
    297,470.82/445,730.52 = 267,257.40/x
  3. Step 3: Cross multiply
    297,470.82x = 445,730.52 × 267,257.40
  4. Step 4: Simplify right side
    297,470.82x = 119,124,779,875.85
  5. Step 5: Solve for x
    x = 119,124,779,875.85/297,470.82
  6. Step 6: Final answer
    x = 400,458.71

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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.