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Finding the Fourth Proportional to 405,144.60, 559,096.28 and 223,855.80

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Solution

The fourth proportional to 405,144.60, 559,096.28 and 223,855.80 is: 308,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,144.60 : 559,096.28 = 223,855.80 : x
  2. Step 2: Convert to fraction form
    405,144.60/559,096.28 = 223,855.80/x
  3. Step 3: Cross multiply
    405,144.60x = 559,096.28 × 223,855.80
  4. Step 4: Simplify right side
    405,144.60x = 125,156,945,036.42
  5. Step 5: Solve for x
    x = 125,156,945,036.42/405,144.60
  6. Step 6: Final answer
    x = 308,919.20

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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.