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Finding the Fourth Proportional to 405,918, 608,879.60 and 106,396

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Solution

The fourth proportional to 405,918, 608,879.60 and 106,396 is: 159,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,918 : 608,879.60 = 106,396 : x
  2. Step 2: Convert to fraction form
    405,918/608,879.60 = 106,396/x
  3. Step 3: Cross multiply
    405,918x = 608,879.60 × 106,396
  4. Step 4: Simplify right side
    405,918x = 64,782,353,921.60
  5. Step 5: Solve for x
    x = 64,782,353,921.60/405,918
  6. Step 6: Final answer
    x = 159,594.68

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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.