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Finding the Fourth Proportional to 433,086, 649,688.94 and 133,590.12

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Solution

The fourth proportional to 433,086, 649,688.94 and 133,590.12 is: 200,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,086 : 649,688.94 = 133,590.12 : x
  2. Step 2: Convert to fraction form
    433,086/649,688.94 = 133,590.12/x
  3. Step 3: Cross multiply
    433,086x = 649,688.94 × 133,590.12
  4. Step 4: Simplify right side
    433,086x = 86,792,023,457.27
  5. Step 5: Solve for x
    x = 86,792,023,457.27/433,086
  6. Step 6: Final answer
    x = 200,403.67

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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.