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Finding the Fourth Proportional to 405,137.40, 559,100.90 and 223,861.07

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Solution

The fourth proportional to 405,137.40, 559,100.90 and 223,861.07 is: 308,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,137.40 : 559,100.90 = 223,861.07 : x
  2. Step 2: Convert to fraction form
    405,137.40/559,100.90 = 223,861.07/x
  3. Step 3: Cross multiply
    405,137.40x = 559,100.90 × 223,861.07
  4. Step 4: Simplify right side
    405,137.40x = 125,160,921,797.15
  5. Step 5: Solve for x
    x = 125,160,921,797.15/405,137.40
  6. Step 6: Final answer
    x = 308,934.50

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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.