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Finding the Fourth Proportional to 209,257.54, 313,787.87 and 146,148.92

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Solution

The fourth proportional to 209,257.54, 313,787.87 and 146,148.92 is: 219,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257.54 : 313,787.87 = 146,148.92 : x
  2. Step 2: Convert to fraction form
    209,257.54/313,787.87 = 146,148.92/x
  3. Step 3: Cross multiply
    209,257.54x = 313,787.87 × 146,148.92
  4. Step 4: Simplify right side
    209,257.54x = 45,859,757,578.86
  5. Step 5: Solve for x
    x = 45,859,757,578.86/209,257.54
  6. Step 6: Final answer
    x = 219,154.63

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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.