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Finding the Fourth Proportional to 640,439.41, 960,991.41 and 285,370.85

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Solution

The fourth proportional to 640,439.41, 960,991.41 and 285,370.85 is: 428,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,439.41 : 960,991.41 = 285,370.85 : x
  2. Step 2: Convert to fraction form
    640,439.41/960,991.41 = 285,370.85/x
  3. Step 3: Cross multiply
    640,439.41x = 960,991.41 × 285,370.85
  4. Step 4: Simplify right side
    640,439.41x = 274,238,931,779.58
  5. Step 5: Solve for x
    x = 274,238,931,779.58/640,439.41
  6. Step 6: Final answer
    x = 428,204.34

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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.