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Finding the Fourth Proportional to 405,825.80, 608,220.30 and 311,865.80

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Solution

The fourth proportional to 405,825.80, 608,220.30 and 311,865.80 is: 467,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825.80 : 608,220.30 = 311,865.80 : x
  2. Step 2: Convert to fraction form
    405,825.80/608,220.30 = 311,865.80/x
  3. Step 3: Cross multiply
    405,825.80x = 608,220.30 × 311,865.80
  4. Step 4: Simplify right side
    405,825.80x = 189,683,110,435.74
  5. Step 5: Solve for x
    x = 189,683,110,435.74/405,825.80
  6. Step 6: Final answer
    x = 467,400.32

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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.