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Finding the Fourth Proportional to 405,820.80, 608,212.80 and 311,860.80

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Solution

The fourth proportional to 405,820.80, 608,212.80 and 311,860.80 is: 467,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820.80 : 608,212.80 = 311,860.80 : x
  2. Step 2: Convert to fraction form
    405,820.80/608,212.80 = 311,860.80/x
  3. Step 3: Cross multiply
    405,820.80x = 608,212.80 × 311,860.80
  4. Step 4: Simplify right side
    405,820.80x = 189,677,730,378.24
  5. Step 5: Solve for x
    x = 189,677,730,378.24/405,820.80
  6. Step 6: Final answer
    x = 467,392.83

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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.