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Finding the Fourth Proportional to 405,722.80, 558,283.20 and 393,396.24

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Solution

The fourth proportional to 405,722.80, 558,283.20 and 393,396.24 is: 541,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,722.80 : 558,283.20 = 393,396.24 : x
  2. Step 2: Convert to fraction form
    405,722.80/558,283.20 = 393,396.24/x
  3. Step 3: Cross multiply
    405,722.80x = 558,283.20 × 393,396.24
  4. Step 4: Simplify right side
    405,722.80x = 219,626,511,735.17
  5. Step 5: Solve for x
    x = 219,626,511,735.17/405,722.80
  6. Step 6: Final answer
    x = 541,321.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.