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Finding the Fourth Proportional to 405,138.95, 559,076.72 and 223,846.98

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Solution

The fourth proportional to 405,138.95, 559,076.72 and 223,846.98 is: 308,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.95 : 559,076.72 = 223,846.98 : x
  2. Step 2: Convert to fraction form
    405,138.95/559,076.72 = 223,846.98/x
  3. Step 3: Cross multiply
    405,138.95x = 559,076.72 × 223,846.98
  4. Step 4: Simplify right side
    405,138.95x = 125,147,632,144.53
  5. Step 5: Solve for x
    x = 125,147,632,144.53/405,138.95
  6. Step 6: Final answer
    x = 308,900.52

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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.