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Finding the Fourth Proportional to 405,205.55, 559,168.61 and 223,913.71

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Solution

The fourth proportional to 405,205.55, 559,168.61 and 223,913.71 is: 308,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,205.55 : 559,168.61 = 223,913.71 : x
  2. Step 2: Convert to fraction form
    405,205.55/559,168.61 = 223,913.71/x
  3. Step 3: Cross multiply
    405,205.55x = 559,168.61 × 223,913.71
  4. Step 4: Simplify right side
    405,205.55x = 125,205,515,463.15
  5. Step 5: Solve for x
    x = 125,205,515,463.15/405,205.55
  6. Step 6: Final answer
    x = 308,992.60

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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.