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Finding the Fourth Proportional to 309,680.72, 464,409.52 and 107,221.84

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Solution

The fourth proportional to 309,680.72, 464,409.52 and 107,221.84 is: 160,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,680.72 : 464,409.52 = 107,221.84 : x
  2. Step 2: Convert to fraction form
    309,680.72/464,409.52 = 107,221.84/x
  3. Step 3: Cross multiply
    309,680.72x = 464,409.52 × 107,221.84
  4. Step 4: Simplify right side
    309,680.72x = 49,794,843,247.92
  5. Step 5: Solve for x
    x = 49,794,843,247.92/309,680.72
  6. Step 6: Final answer
    x = 160,794.13

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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.