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Finding the Fourth Proportional to 405,920.21, 608,916.08 and 106,399.76

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Solution

The fourth proportional to 405,920.21, 608,916.08 and 106,399.76 is: 159,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,920.21 : 608,916.08 = 106,399.76 : x
  2. Step 2: Convert to fraction form
    405,920.21/608,916.08 = 106,399.76/x
  3. Step 3: Cross multiply
    405,920.21x = 608,916.08 × 106,399.76
  4. Step 4: Simplify right side
    405,920.21x = 64,788,521,993.56
  5. Step 5: Solve for x
    x = 64,788,521,993.56/405,920.21
  6. Step 6: Final answer
    x = 159,609.01

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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.