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Finding the Fourth Proportional to 405,457.50, 608,188.41 and 109,969.50

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Solution

The fourth proportional to 405,457.50, 608,188.41 and 109,969.50 is: 164,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,457.50 : 608,188.41 = 109,969.50 : x
  2. Step 2: Convert to fraction form
    405,457.50/608,188.41 = 109,969.50/x
  3. Step 3: Cross multiply
    405,457.50x = 608,188.41 × 109,969.50
  4. Step 4: Simplify right side
    405,457.50x = 66,882,175,353.50
  5. Step 5: Solve for x
    x = 66,882,175,353.50/405,457.50
  6. Step 6: Final answer
    x = 164,954.84

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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.