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Finding the Fourth Proportional to 282,196.80, 422,639.10 and 192,967.20

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Solution

The fourth proportional to 282,196.80, 422,639.10 and 192,967.20 is: 289,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,196.80 : 422,639.10 = 192,967.20 : x
  2. Step 2: Convert to fraction form
    282,196.80/422,639.10 = 192,967.20/x
  3. Step 3: Cross multiply
    282,196.80x = 422,639.10 × 192,967.20
  4. Step 4: Simplify right side
    282,196.80x = 81,555,483,737.52
  5. Step 5: Solve for x
    x = 81,555,483,737.52/282,196.80
  6. Step 6: Final answer
    x = 289,002.16

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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.