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Finding the Fourth Proportional to 405,533.80, 608,305.50 and 245,644.60

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Solution

The fourth proportional to 405,533.80, 608,305.50 and 245,644.60 is: 368,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,533.80 : 608,305.50 = 245,644.60 : x
  2. Step 2: Convert to fraction form
    405,533.80/608,305.50 = 245,644.60/x
  3. Step 3: Cross multiply
    405,533.80x = 608,305.50 × 245,644.60
  4. Step 4: Simplify right side
    405,533.80x = 149,426,961,225.30
  5. Step 5: Solve for x
    x = 149,426,961,225.30/405,533.80
  6. Step 6: Final answer
    x = 368,469.81

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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.