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Finding the Fourth Proportional to 216,410.94, 323,804.49 and 178,988.64

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Solution

The fourth proportional to 216,410.94, 323,804.49 and 178,988.64 is: 267,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,410.94 : 323,804.49 = 178,988.64 : x
  2. Step 2: Convert to fraction form
    216,410.94/323,804.49 = 178,988.64/x
  3. Step 3: Cross multiply
    216,410.94x = 323,804.49 × 178,988.64
  4. Step 4: Simplify right side
    216,410.94x = 57,957,323,405.52
  5. Step 5: Solve for x
    x = 57,957,323,405.52/216,410.94
  6. Step 6: Final answer
    x = 267,811.43

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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.