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Finding the Fourth Proportional to 216,411.94, 323,805.98 and 178,989.64

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Solution

The fourth proportional to 216,411.94, 323,805.98 and 178,989.64 is: 267,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,411.94 : 323,805.98 = 178,989.64 : x
  2. Step 2: Convert to fraction form
    216,411.94/323,805.98 = 178,989.64/x
  3. Step 3: Cross multiply
    216,411.94x = 323,805.98 × 178,989.64
  4. Step 4: Simplify right side
    216,411.94x = 57,957,915,790.05
  5. Step 5: Solve for x
    x = 57,957,915,790.05/216,411.94
  6. Step 6: Final answer
    x = 267,812.93

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1.5x scale

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.