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Finding the Fourth Proportional to 405,474.23, 608,461.48 and 205,937.81

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Solution

The fourth proportional to 405,474.23, 608,461.48 and 205,937.81 is: 309,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,474.23 : 608,461.48 = 205,937.81 : x
  2. Step 2: Convert to fraction form
    405,474.23/608,461.48 = 205,937.81/x
  3. Step 3: Cross multiply
    405,474.23x = 608,461.48 × 205,937.81
  4. Step 4: Simplify right side
    405,474.23x = 125,305,227,580.00
  5. Step 5: Solve for x
    x = 125,305,227,580.00/405,474.23
  6. Step 6: Final answer
    x = 309,033.77

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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.