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Finding the Fourth Proportional to 321,905.76, 444,193.92 and 178,671.84

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Solution

The fourth proportional to 321,905.76, 444,193.92 and 178,671.84 is: 246,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,905.76 : 444,193.92 = 178,671.84 : x
  2. Step 2: Convert to fraction form
    321,905.76/444,193.92 = 178,671.84/x
  3. Step 3: Cross multiply
    321,905.76x = 444,193.92 × 178,671.84
  4. Step 4: Simplify right side
    321,905.76x = 79,364,945,003.21
  5. Step 5: Solve for x
    x = 79,364,945,003.21/321,905.76
  6. Step 6: Final answer
    x = 246,547.14

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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.