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Finding the Fourth Proportional to 405,164.42, 607,747.08 and 105,644.75

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Solution

The fourth proportional to 405,164.42, 607,747.08 and 105,644.75 is: 158,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,164.42 : 607,747.08 = 105,644.75 : x
  2. Step 2: Convert to fraction form
    405,164.42/607,747.08 = 105,644.75/x
  3. Step 3: Cross multiply
    405,164.42x = 607,747.08 × 105,644.75
  4. Step 4: Simplify right side
    405,164.42x = 64,205,285,291.09
  5. Step 5: Solve for x
    x = 64,205,285,291.09/405,164.42
  6. Step 6: Final answer
    x = 158,467.24

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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.