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Finding the Fourth Proportional to 321,623.84, 443,868.12 and 178,430

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Solution

The fourth proportional to 321,623.84, 443,868.12 and 178,430 is: 246,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,623.84 : 443,868.12 = 178,430 : x
  2. Step 2: Convert to fraction form
    321,623.84/443,868.12 = 178,430/x
  3. Step 3: Cross multiply
    321,623.84x = 443,868.12 × 178,430
  4. Step 4: Simplify right side
    321,623.84x = 79,199,388,651.60
  5. Step 5: Solve for x
    x = 79,199,388,651.60/321,623.84
  6. Step 6: Final answer
    x = 246,248.50

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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.