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Finding the Fourth Proportional to 321,643.68, 443,852.64 and 178,391.04

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Solution

The fourth proportional to 321,643.68, 443,852.64 and 178,391.04 is: 246,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,643.68 : 443,852.64 = 178,391.04 : x
  2. Step 2: Convert to fraction form
    321,643.68/443,852.64 = 178,391.04/x
  3. Step 3: Cross multiply
    321,643.68x = 443,852.64 × 178,391.04
  4. Step 4: Simplify right side
    321,643.68x = 79,179,334,056.35
  5. Step 5: Solve for x
    x = 79,179,334,056.35/321,643.68
  6. Step 6: Final answer
    x = 246,170.96

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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.