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Finding the Fourth Proportional to 646,878.56, 969,245.19 and 393,392.30

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Solution

The fourth proportional to 646,878.56, 969,245.19 and 393,392.30 is: 589,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,878.56 : 969,245.19 = 393,392.30 : x
  2. Step 2: Convert to fraction form
    646,878.56/969,245.19 = 393,392.30/x
  3. Step 3: Cross multiply
    646,878.56x = 969,245.19 × 393,392.30
  4. Step 4: Simplify right side
    646,878.56x = 381,293,589,711.81
  5. Step 5: Solve for x
    x = 381,293,589,711.81/646,878.56
  6. Step 6: Final answer
    x = 589,436.13

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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.