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Finding the Fourth Proportional to 405,257.79, 559,256.42 and 223,969.67

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Solution

The fourth proportional to 405,257.79, 559,256.42 and 223,969.67 is: 309,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,257.79 : 559,256.42 = 223,969.67 : x
  2. Step 2: Convert to fraction form
    405,257.79/559,256.42 = 223,969.67/x
  3. Step 3: Cross multiply
    405,257.79x = 559,256.42 × 223,969.67
  4. Step 4: Simplify right side
    405,257.79x = 125,256,471,916.65
  5. Step 5: Solve for x
    x = 125,256,471,916.65/405,257.79
  6. Step 6: Final answer
    x = 309,078.51

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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.