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Finding the Fourth Proportional to 282,218.77, 423,311.74 and 206,394.12

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Solution

The fourth proportional to 282,218.77, 423,311.74 and 206,394.12 is: 309,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,218.77 : 423,311.74 = 206,394.12 : x
  2. Step 2: Convert to fraction form
    282,218.77/423,311.74 = 206,394.12/x
  3. Step 3: Cross multiply
    282,218.77x = 423,311.74 × 206,394.12
  4. Step 4: Simplify right side
    282,218.77x = 87,369,054,062.97
  5. Step 5: Solve for x
    x = 87,369,054,062.97/282,218.77
  6. Step 6: Final answer
    x = 309,579.18

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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.