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Finding the Fourth Proportional to 405,705.80, 608,429.10 and 168,991.40

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Solution

The fourth proportional to 405,705.80, 608,429.10 and 168,991.40 is: 253,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,705.80 : 608,429.10 = 168,991.40 : x
  2. Step 2: Convert to fraction form
    405,705.80/608,429.10 = 168,991.40/x
  3. Step 3: Cross multiply
    405,705.80x = 608,429.10 × 168,991.40
  4. Step 4: Simplify right side
    405,705.80x = 102,819,285,409.74
  5. Step 5: Solve for x
    x = 102,819,285,409.74/405,705.80
  6. Step 6: Final answer
    x = 253,433.12

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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.