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Finding the Fourth Proportional to 405,180.51, 608,152.11 and 205,644.09

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Solution

The fourth proportional to 405,180.51, 608,152.11 and 205,644.09 is: 308,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,180.51 : 608,152.11 = 205,644.09 : x
  2. Step 2: Convert to fraction form
    405,180.51/608,152.11 = 205,644.09/x
  3. Step 3: Cross multiply
    405,180.51x = 608,152.11 × 205,644.09
  4. Step 4: Simplify right side
    405,180.51x = 125,062,887,242.53
  5. Step 5: Solve for x
    x = 125,062,887,242.53/405,180.51
  6. Step 6: Final answer
    x = 308,659.68

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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.