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Finding the Fourth Proportional to 405,438.80, 608,100.60 and 139,211.60

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Solution

The fourth proportional to 405,438.80, 608,100.60 and 139,211.60 is: 208,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.80 : 608,100.60 = 139,211.60 : x
  2. Step 2: Convert to fraction form
    405,438.80/608,100.60 = 139,211.60/x
  3. Step 3: Cross multiply
    405,438.80x = 608,100.60 × 139,211.60
  4. Step 4: Simplify right side
    405,438.80x = 84,654,657,486.96
  5. Step 5: Solve for x
    x = 84,654,657,486.96/405,438.80
  6. Step 6: Final answer
    x = 208,797.62

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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.