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Finding the Fourth Proportional to 405,942.40, 608,913.60 and 106,422.40

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Solution

The fourth proportional to 405,942.40, 608,913.60 and 106,422.40 is: 159,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,942.40 : 608,913.60 = 106,422.40 : x
  2. Step 2: Convert to fraction form
    405,942.40/608,913.60 = 106,422.40/x
  3. Step 3: Cross multiply
    405,942.40x = 608,913.60 × 106,422.40
  4. Step 4: Simplify right side
    405,942.40x = 64,802,046,704.64
  5. Step 5: Solve for x
    x = 64,802,046,704.64/405,942.40
  6. Step 6: Final answer
    x = 159,633.60

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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.