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Finding the Fourth Proportional to 313,470.83, 470,145.04 and 100,181.53

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Solution

The fourth proportional to 313,470.83, 470,145.04 and 100,181.53 is: 150,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470.83 : 470,145.04 = 100,181.53 : x
  2. Step 2: Convert to fraction form
    313,470.83/470,145.04 = 100,181.53/x
  3. Step 3: Cross multiply
    313,470.83x = 470,145.04 × 100,181.53
  4. Step 4: Simplify right side
    313,470.83x = 47,099,850,329.86
  5. Step 5: Solve for x
    x = 47,099,850,329.86/313,470.83
  6. Step 6: Final answer
    x = 150,252.74

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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.