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Finding the Fourth Proportional to 313,658.11, 470,512.68 and 188,155.90

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Solution

The fourth proportional to 313,658.11, 470,512.68 and 188,155.90 is: 282,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,658.11 : 470,512.68 = 188,155.90 : x
  2. Step 2: Convert to fraction form
    313,658.11/470,512.68 = 188,155.90/x
  3. Step 3: Cross multiply
    313,658.11x = 470,512.68 × 188,155.90
  4. Step 4: Simplify right side
    313,658.11x = 88,529,736,766.81
  5. Step 5: Solve for x
    x = 88,529,736,766.81/313,658.11
  6. Step 6: Final answer
    x = 282,249.16

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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.