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Finding the Fourth Proportional to 405,429.80, 608,087.10 and 139,202.60

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Solution

The fourth proportional to 405,429.80, 608,087.10 and 139,202.60 is: 208,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,429.80 : 608,087.10 = 139,202.60 : x
  2. Step 2: Convert to fraction form
    405,429.80/608,087.10 = 139,202.60/x
  3. Step 3: Cross multiply
    405,429.80x = 608,087.10 × 139,202.60
  4. Step 4: Simplify right side
    405,429.80x = 84,647,305,346.46
  5. Step 5: Solve for x
    x = 84,647,305,346.46/405,429.80
  6. Step 6: Final answer
    x = 208,784.12

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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.