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Finding the Fourth Proportional to 405,650.38, 608,346.16 and 139,346.68

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Solution

The fourth proportional to 405,650.38, 608,346.16 and 139,346.68 is: 208,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,650.38 : 608,346.16 = 139,346.68 : x
  2. Step 2: Convert to fraction form
    405,650.38/608,346.16 = 139,346.68/x
  3. Step 3: Cross multiply
    405,650.38x = 608,346.16 × 139,346.68
  4. Step 4: Simplify right side
    405,650.38x = 84,771,014,296.65
  5. Step 5: Solve for x
    x = 84,771,014,296.65/405,650.38
  6. Step 6: Final answer
    x = 208,975.56

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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.