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Finding the Fourth Proportional to 282,494.80, 423,742.20 and 262,811.80

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Solution

The fourth proportional to 282,494.80, 423,742.20 and 262,811.80 is: 394,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,494.80 : 423,742.20 = 262,811.80 : x
  2. Step 2: Convert to fraction form
    282,494.80/423,742.20 = 262,811.80/x
  3. Step 3: Cross multiply
    282,494.80x = 423,742.20 × 262,811.80
  4. Step 4: Simplify right side
    282,494.80x = 111,364,450,317.96
  5. Step 5: Solve for x
    x = 111,364,450,317.96/282,494.80
  6. Step 6: Final answer
    x = 394,217.70

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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.