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Finding the Fourth Proportional to 405,168.80, 606,878.40 and 263,451.20

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Solution

The fourth proportional to 405,168.80, 606,878.40 and 263,451.20 is: 394,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,168.80 : 606,878.40 = 263,451.20 : x
  2. Step 2: Convert to fraction form
    405,168.80/606,878.40 = 263,451.20/x
  3. Step 3: Cross multiply
    405,168.80x = 606,878.40 × 263,451.20
  4. Step 4: Simplify right side
    405,168.80x = 159,882,842,734.08
  5. Step 5: Solve for x
    x = 159,882,842,734.08/405,168.80
  6. Step 6: Final answer
    x = 394,607.98

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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.