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Finding the Fourth Proportional to 405,734.62, 608,657.28 and 169,021.90

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Solution

The fourth proportional to 405,734.62, 608,657.28 and 169,021.90 is: 253,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,734.62 : 608,657.28 = 169,021.90 : x
  2. Step 2: Convert to fraction form
    405,734.62/608,657.28 = 169,021.90/x
  3. Step 3: Cross multiply
    405,734.62x = 608,657.28 × 169,021.90
  4. Step 4: Simplify right side
    405,734.62x = 102,876,409,914.43
  5. Step 5: Solve for x
    x = 102,876,409,914.43/405,734.62
  6. Step 6: Final answer
    x = 253,555.91

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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.