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Finding the Fourth Proportional to 405,922, 608,885.60 and 106,400

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Solution

The fourth proportional to 405,922, 608,885.60 and 106,400 is: 159,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,922 : 608,885.60 = 106,400 : x
  2. Step 2: Convert to fraction form
    405,922/608,885.60 = 106,400/x
  3. Step 3: Cross multiply
    405,922x = 608,885.60 × 106,400
  4. Step 4: Simplify right side
    405,922x = 64,785,427,840
  5. Step 5: Solve for x
    x = 64,785,427,840/405,922
  6. Step 6: Final answer
    x = 159,600.68

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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.