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Finding the Fourth Proportional to 228,396.81, 342,477.17 and 100,260.65

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Solution

The fourth proportional to 228,396.81, 342,477.17 and 100,260.65 is: 150,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,396.81 : 342,477.17 = 100,260.65 : x
  2. Step 2: Convert to fraction form
    228,396.81/342,477.17 = 100,260.65/x
  3. Step 3: Cross multiply
    228,396.81x = 342,477.17 × 100,260.65
  4. Step 4: Simplify right side
    228,396.81x = 34,336,983,674.36
  5. Step 5: Solve for x
    x = 34,336,983,674.36/228,396.81
  6. Step 6: Final answer
    x = 150,339.16

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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.