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Finding the Fourth Proportional to 646,765, 969,411.81 and 393,487.18

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Solution

The fourth proportional to 646,765, 969,411.81 and 393,487.18 is: 589,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,765 : 969,411.81 = 393,487.18 : x
  2. Step 2: Convert to fraction form
    646,765/969,411.81 = 393,487.18/x
  3. Step 3: Cross multiply
    646,765x = 969,411.81 × 393,487.18
  4. Step 4: Simplify right side
    646,765x = 381,451,119,375.60
  5. Step 5: Solve for x
    x = 381,451,119,375.60/646,765
  6. Step 6: Final answer
    x = 589,783.18

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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.