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Finding the Fourth Proportional to 321,903.12, 444,205.44 and 178,663.20

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Solution

The fourth proportional to 321,903.12, 444,205.44 and 178,663.20 is: 246,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,903.12 : 444,205.44 = 178,663.20 : x
  2. Step 2: Convert to fraction form
    321,903.12/444,205.44 = 178,663.20/x
  3. Step 3: Cross multiply
    321,903.12x = 444,205.44 × 178,663.20
  4. Step 4: Simplify right side
    321,903.12x = 79,363,165,367.81
  5. Step 5: Solve for x
    x = 79,363,165,367.81/321,903.12
  6. Step 6: Final answer
    x = 246,543.64

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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.