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Finding the Fourth Proportional to 699,964.92, 965,943.18 and 398,158.20

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Solution

The fourth proportional to 699,964.92, 965,943.18 and 398,158.20 is: 549,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,964.92 : 965,943.18 = 398,158.20 : x
  2. Step 2: Convert to fraction form
    699,964.92/965,943.18 = 398,158.20/x
  3. Step 3: Cross multiply
    699,964.92x = 965,943.18 × 398,158.20
  4. Step 4: Simplify right side
    699,964.92x = 384,598,197,851.08
  5. Step 5: Solve for x
    x = 384,598,197,851.08/699,964.92
  6. Step 6: Final answer
    x = 549,453.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.