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Finding the Fourth Proportional to 405,123.80, 607,199.70 and 168,344.60

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Solution

The fourth proportional to 405,123.80, 607,199.70 and 168,344.60 is: 252,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,123.80 : 607,199.70 = 168,344.60 : x
  2. Step 2: Convert to fraction form
    405,123.80/607,199.70 = 168,344.60/x
  3. Step 3: Cross multiply
    405,123.80x = 607,199.70 × 168,344.60
  4. Step 4: Simplify right side
    405,123.80x = 102,218,790,616.62
  5. Step 5: Solve for x
    x = 102,218,790,616.62/405,123.80
  6. Step 6: Final answer
    x = 252,314.95

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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.