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Finding the Fourth Proportional to 412,400.57, 618,511.75 and 146,169.77

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Solution

The fourth proportional to 412,400.57, 618,511.75 and 146,169.77 is: 219,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,400.57 : 618,511.75 = 146,169.77 : x
  2. Step 2: Convert to fraction form
    412,400.57/618,511.75 = 146,169.77/x
  3. Step 3: Cross multiply
    412,400.57x = 618,511.75 × 146,169.77
  4. Step 4: Simplify right side
    412,400.57x = 90,407,716,781.81
  5. Step 5: Solve for x
    x = 90,407,716,781.81/412,400.57
  6. Step 6: Final answer
    x = 219,223.07

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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.