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Finding the Fourth Proportional to 646,832.63, 969,176.34 and 393,346.35

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Solution

The fourth proportional to 646,832.63, 969,176.34 and 393,346.35 is: 589,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,832.63 : 969,176.34 = 393,346.35 : x
  2. Step 2: Convert to fraction form
    646,832.63/969,176.34 = 393,346.35/x
  3. Step 3: Cross multiply
    646,832.63x = 969,176.34 × 393,346.35
  4. Step 4: Simplify right side
    646,832.63x = 381,221,970,735.90
  5. Step 5: Solve for x
    x = 381,221,970,735.90/646,832.63
  6. Step 6: Final answer
    x = 589,367.25

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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.