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Finding the Fourth Proportional to 405,924.78, 608,840.36 and 106,429.14

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Solution

The fourth proportional to 405,924.78, 608,840.36 and 106,429.14 is: 159,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924.78 : 608,840.36 = 106,429.14 : x
  2. Step 2: Convert to fraction form
    405,924.78/608,840.36 = 106,429.14/x
  3. Step 3: Cross multiply
    405,924.78x = 608,840.36 × 106,429.14
  4. Step 4: Simplify right side
    405,924.78x = 64,798,355,379.94
  5. Step 5: Solve for x
    x = 64,798,355,379.94/405,924.78
  6. Step 6: Final answer
    x = 159,631.44

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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.