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Finding the Fourth Proportional to 431,940.21, 648,107.24 and 221,725.89

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Solution

The fourth proportional to 431,940.21, 648,107.24 and 221,725.89 is: 332,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,940.21 : 648,107.24 = 221,725.89 : x
  2. Step 2: Convert to fraction form
    431,940.21/648,107.24 = 221,725.89/x
  3. Step 3: Cross multiply
    431,940.21x = 648,107.24 × 221,725.89
  4. Step 4: Simplify right side
    431,940.21x = 143,702,153,495.81
  5. Step 5: Solve for x
    x = 143,702,153,495.81/431,940.21
  6. Step 6: Final answer
    x = 332,689.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.