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Finding the Fourth Proportional to 213,228, 294,280.56 and 123,804

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Solution

The fourth proportional to 213,228, 294,280.56 and 123,804 is: 170,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,228 : 294,280.56 = 123,804 : x
  2. Step 2: Convert to fraction form
    213,228/294,280.56 = 123,804/x
  3. Step 3: Cross multiply
    213,228x = 294,280.56 × 123,804
  4. Step 4: Simplify right side
    213,228x = 36,433,110,450.24
  5. Step 5: Solve for x
    x = 36,433,110,450.24/213,228
  6. Step 6: Final answer
    x = 170,864.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.