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Finding the Fourth Proportional to 405,919, 608,881.10 and 106,397

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Solution

The fourth proportional to 405,919, 608,881.10 and 106,397 is: 159,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,919 : 608,881.10 = 106,397 : x
  2. Step 2: Convert to fraction form
    405,919/608,881.10 = 106,397/x
  3. Step 3: Cross multiply
    405,919x = 608,881.10 × 106,397
  4. Step 4: Simplify right side
    405,919x = 64,783,122,396.70
  5. Step 5: Solve for x
    x = 64,783,122,396.70/405,919
  6. Step 6: Final answer
    x = 159,596.18

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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.