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Finding the Fourth Proportional to 645,778.32, 968,069.52 and 285,758.34

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Solution

The fourth proportional to 645,778.32, 968,069.52 and 285,758.34 is: 428,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,778.32 : 968,069.52 = 285,758.34 : x
  2. Step 2: Convert to fraction form
    645,778.32/968,069.52 = 285,758.34/x
  3. Step 3: Cross multiply
    645,778.32x = 968,069.52 × 285,758.34
  4. Step 4: Simplify right side
    645,778.32x = 276,633,939,039.80
  5. Step 5: Solve for x
    x = 276,633,939,039.80/645,778.32
  6. Step 6: Final answer
    x = 428,372.91

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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.