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Finding the Fourth Proportional to 321,509.36, 443,688.24 and 178,275.44

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Solution

The fourth proportional to 321,509.36, 443,688.24 and 178,275.44 is: 246,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,509.36 : 443,688.24 = 178,275.44 : x
  2. Step 2: Convert to fraction form
    321,509.36/443,688.24 = 178,275.44/x
  3. Step 3: Cross multiply
    321,509.36x = 443,688.24 × 178,275.44
  4. Step 4: Simplify right side
    321,509.36x = 79,098,716,208.83
  5. Step 5: Solve for x
    x = 79,098,716,208.83/321,509.36
  6. Step 6: Final answer
    x = 246,023.06

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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.