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Finding the Fourth Proportional to 405,696.80, 608,415.60 and 168,982.40

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Solution

The fourth proportional to 405,696.80, 608,415.60 and 168,982.40 is: 253,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,696.80 : 608,415.60 = 168,982.40 : x
  2. Step 2: Convert to fraction form
    405,696.80/608,415.60 = 168,982.40/x
  3. Step 3: Cross multiply
    405,696.80x = 608,415.60 × 168,982.40
  4. Step 4: Simplify right side
    405,696.80x = 102,811,528,285.44
  5. Step 5: Solve for x
    x = 102,811,528,285.44/405,696.80
  6. Step 6: Final answer
    x = 253,419.62

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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.