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Finding the Fourth Proportional to 358,406.16, 536,722.28 and 208,190.85

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Solution

The fourth proportional to 358,406.16, 536,722.28 and 208,190.85 is: 311,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,406.16 : 536,722.28 = 208,190.85 : x
  2. Step 2: Convert to fraction form
    358,406.16/536,722.28 = 208,190.85/x
  3. Step 3: Cross multiply
    358,406.16x = 536,722.28 × 208,190.85
  4. Step 4: Simplify right side
    358,406.16x = 111,740,667,687.14
  5. Step 5: Solve for x
    x = 111,740,667,687.14/358,406.16
  6. Step 6: Final answer
    x = 311,771.06

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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.