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Finding the Fourth Proportional to 321,406.48, 443,533.86 and 178,165.28

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Solution

The fourth proportional to 321,406.48, 443,533.86 and 178,165.28 is: 245,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,406.48 : 443,533.86 = 178,165.28 : x
  2. Step 2: Convert to fraction form
    321,406.48/443,533.86 = 178,165.28/x
  3. Step 3: Cross multiply
    321,406.48x = 443,533.86 × 178,165.28
  4. Step 4: Simplify right side
    321,406.48x = 79,022,334,356.38
  5. Step 5: Solve for x
    x = 79,022,334,356.38/321,406.48
  6. Step 6: Final answer
    x = 245,864.16

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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.