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Finding the Fourth Proportional to 405,450.66, 608,081.68 and 152,756.48

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Solution

The fourth proportional to 405,450.66, 608,081.68 and 152,756.48 is: 229,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,450.66 : 608,081.68 = 152,756.48 : x
  2. Step 2: Convert to fraction form
    405,450.66/608,081.68 = 152,756.48/x
  3. Step 3: Cross multiply
    405,450.66x = 608,081.68 × 152,756.48
  4. Step 4: Simplify right side
    405,450.66x = 92,888,418,700.44
  5. Step 5: Solve for x
    x = 92,888,418,700.44/405,450.66
  6. Step 6: Final answer
    x = 229,099.19

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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.