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Finding the Fourth Proportional to 412,408.38, 618,661.98 and 146,114.40

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Solution

The fourth proportional to 412,408.38, 618,661.98 and 146,114.40 is: 219,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,408.38 : 618,661.98 = 146,114.40 : x
  2. Step 2: Convert to fraction form
    412,408.38/618,661.98 = 146,114.40/x
  3. Step 3: Cross multiply
    412,408.38x = 618,661.98 × 146,114.40
  4. Step 4: Simplify right side
    412,408.38x = 90,395,424,010.51
  5. Step 5: Solve for x
    x = 90,395,424,010.51/412,408.38
  6. Step 6: Final answer
    x = 219,189.11

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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.