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Finding the Fourth Proportional to 640,441.16, 960,994.04 and 285,372.60

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Solution

The fourth proportional to 640,441.16, 960,994.04 and 285,372.60 is: 428,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,441.16 : 960,994.04 = 285,372.60 : x
  2. Step 2: Convert to fraction form
    640,441.16/960,994.04 = 285,372.60/x
  3. Step 3: Cross multiply
    640,441.16x = 960,994.04 × 285,372.60
  4. Step 4: Simplify right side
    640,441.16x = 274,241,362,974.33
  5. Step 5: Solve for x
    x = 274,241,362,974.33/640,441.16
  6. Step 6: Final answer
    x = 428,206.96

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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.