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Finding the Fourth Proportional to 405,468.80, 608,145.60 and 139,241.60

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Solution

The fourth proportional to 405,468.80, 608,145.60 and 139,241.60 is: 208,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,468.80 : 608,145.60 = 139,241.60 : x
  2. Step 2: Convert to fraction form
    405,468.80/608,145.60 = 139,241.60/x
  3. Step 3: Cross multiply
    405,468.80x = 608,145.60 × 139,241.60
  4. Step 4: Simplify right side
    405,468.80x = 84,679,166,376.96
  5. Step 5: Solve for x
    x = 84,679,166,376.96/405,468.80
  6. Step 6: Final answer
    x = 208,842.62

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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.