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Finding the Fourth Proportional to 645,850.43, 968,993.43 and 285,972.15

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Solution

The fourth proportional to 645,850.43, 968,993.43 and 285,972.15 is: 429,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,850.43 : 968,993.43 = 285,972.15 : x
  2. Step 2: Convert to fraction form
    645,850.43/968,993.43 = 285,972.15/x
  3. Step 3: Cross multiply
    645,850.43x = 968,993.43 × 285,972.15
  4. Step 4: Simplify right side
    645,850.43x = 277,105,134,512.98
  5. Step 5: Solve for x
    x = 277,105,134,512.98/645,850.43
  6. Step 6: Final answer
    x = 429,054.66

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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.