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Finding the Fourth Proportional to 405,138.72, 607,678.92 and 177,457.44

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Solution

The fourth proportional to 405,138.72, 607,678.92 and 177,457.44 is: 266,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.72 : 607,678.92 = 177,457.44 : x
  2. Step 2: Convert to fraction form
    405,138.72/607,678.92 = 177,457.44/x
  3. Step 3: Cross multiply
    405,138.72x = 607,678.92 × 177,457.44
  4. Step 4: Simplify right side
    405,138.72x = 107,837,145,485.17
  5. Step 5: Solve for x
    x = 107,837,145,485.17/405,138.72
  6. Step 6: Final answer
    x = 266,173.39

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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.