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Finding the Fourth Proportional to 405,806.81, 608,704.05 and 139,569.62

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Solution

The fourth proportional to 405,806.81, 608,704.05 and 139,569.62 is: 209,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,806.81 : 608,704.05 = 139,569.62 : x
  2. Step 2: Convert to fraction form
    405,806.81/608,704.05 = 139,569.62/x
  3. Step 3: Cross multiply
    405,806.81x = 608,704.05 × 139,569.62
  4. Step 4: Simplify right side
    405,806.81x = 84,956,594,472.72
  5. Step 5: Solve for x
    x = 84,956,594,472.72/405,806.81
  6. Step 6: Final answer
    x = 209,352.32

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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.