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Finding the Fourth Proportional to 282,021.76, 422,822.24 and 169,675.65

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Solution

The fourth proportional to 282,021.76, 422,822.24 and 169,675.65 is: 254,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021.76 : 422,822.24 = 169,675.65 : x
  2. Step 2: Convert to fraction form
    282,021.76/422,822.24 = 169,675.65/x
  3. Step 3: Cross multiply
    282,021.76x = 422,822.24 × 169,675.65
  4. Step 4: Simplify right side
    282,021.76x = 71,742,639,148.79
  5. Step 5: Solve for x
    x = 71,742,639,148.79/282,021.76
  6. Step 6: Final answer
    x = 254,386.90

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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.