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Finding the Fourth Proportional to 405,138.48, 607,678.56 and 177,457.20

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Solution

The fourth proportional to 405,138.48, 607,678.56 and 177,457.20 is: 266,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.48 : 607,678.56 = 177,457.20 : x
  2. Step 2: Convert to fraction form
    405,138.48/607,678.56 = 177,457.20/x
  3. Step 3: Cross multiply
    405,138.48x = 607,678.56 × 177,457.20
  4. Step 4: Simplify right side
    405,138.48x = 107,836,935,757.63
  5. Step 5: Solve for x
    x = 107,836,935,757.63/405,138.48
  6. Step 6: Final answer
    x = 266,173.03

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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.