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Finding the Fourth Proportional to 419,111.48, 628,760.97 and 152,872

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Solution

The fourth proportional to 419,111.48, 628,760.97 and 152,872 is: 229,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,111.48 : 628,760.97 = 152,872 : x
  2. Step 2: Convert to fraction form
    419,111.48/628,760.97 = 152,872/x
  3. Step 3: Cross multiply
    419,111.48x = 628,760.97 × 152,872
  4. Step 4: Simplify right side
    419,111.48x = 96,119,947,005.84
  5. Step 5: Solve for x
    x = 96,119,947,005.84/419,111.48
  6. Step 6: Final answer
    x = 229,342.20

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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.