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Finding the Fourth Proportional to 405,280.87, 559,357.05 and 235,613.41

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Solution

The fourth proportional to 405,280.87, 559,357.05 and 235,613.41 is: 325,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,280.87 : 559,357.05 = 235,613.41 : x
  2. Step 2: Convert to fraction form
    405,280.87/559,357.05 = 235,613.41/x
  3. Step 3: Cross multiply
    405,280.87x = 559,357.05 × 235,613.41
  4. Step 4: Simplify right side
    405,280.87x = 131,792,021,958.04
  5. Step 5: Solve for x
    x = 131,792,021,958.04/405,280.87
  6. Step 6: Final answer
    x = 325,186.88

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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.