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Finding the Fourth Proportional to 405,950.50, 608,928.27 and 106,428.39

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Solution

The fourth proportional to 405,950.50, 608,928.27 and 106,428.39 is: 159,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,950.50 : 608,928.27 = 106,428.39 : x
  2. Step 2: Convert to fraction form
    405,950.50/608,928.27 = 106,428.39/x
  3. Step 3: Cross multiply
    405,950.50x = 608,928.27 × 106,428.39
  4. Step 4: Simplify right side
    405,950.50x = 64,807,255,401.59
  5. Step 5: Solve for x
    x = 64,807,255,401.59/405,950.50
  6. Step 6: Final answer
    x = 159,643.25

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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.