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Finding the Fourth Proportional to 405,364.50, 608,046.75 and 109,876.50

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Solution

The fourth proportional to 405,364.50, 608,046.75 and 109,876.50 is: 164,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,364.50 : 608,046.75 = 109,876.50 : x
  2. Step 2: Convert to fraction form
    405,364.50/608,046.75 = 109,876.50/x
  3. Step 3: Cross multiply
    405,364.50x = 608,046.75 × 109,876.50
  4. Step 4: Simplify right side
    405,364.50x = 66,810,048,726.38
  5. Step 5: Solve for x
    x = 66,810,048,726.38/405,364.50
  6. Step 6: Final answer
    x = 164,814.75

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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.