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Finding the Fourth Proportional to 216,394.20, 324,008.10 and 156,907.80

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Solution

The fourth proportional to 216,394.20, 324,008.10 and 156,907.80 is: 234,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,394.20 : 324,008.10 = 156,907.80 : x
  2. Step 2: Convert to fraction form
    216,394.20/324,008.10 = 156,907.80/x
  3. Step 3: Cross multiply
    216,394.20x = 324,008.10 × 156,907.80
  4. Step 4: Simplify right side
    216,394.20x = 50,839,398,153.18
  5. Step 5: Solve for x
    x = 50,839,398,153.18/216,394.20
  6. Step 6: Final answer
    x = 234,938.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.