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Finding the Fourth Proportional to 306,709.92, 459,452.25 and 243,636.84

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Solution

The fourth proportional to 306,709.92, 459,452.25 and 243,636.84 is: 364,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,709.92 : 459,452.25 = 243,636.84 : x
  2. Step 2: Convert to fraction form
    306,709.92/459,452.25 = 243,636.84/x
  3. Step 3: Cross multiply
    306,709.92x = 459,452.25 × 243,636.84
  4. Step 4: Simplify right side
    306,709.92x = 111,939,494,320.89
  5. Step 5: Solve for x
    x = 111,939,494,320.89/306,709.92
  6. Step 6: Final answer
    x = 364,968.61

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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.