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Finding the Fourth Proportional to 216,208.80, 323,438.40 and 189,964.80

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Solution

The fourth proportional to 216,208.80, 323,438.40 and 189,964.80 is: 284,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,208.80 : 323,438.40 = 189,964.80 : x
  2. Step 2: Convert to fraction form
    216,208.80/323,438.40 = 189,964.80/x
  3. Step 3: Cross multiply
    216,208.80x = 323,438.40 × 189,964.80
  4. Step 4: Simplify right side
    216,208.80x = 61,441,910,968.32
  5. Step 5: Solve for x
    x = 61,441,910,968.32/216,208.80
  6. Step 6: Final answer
    x = 284,178.59

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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.