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Finding the Fourth Proportional to 427,722.63, 641,292.34 and 216,954.15

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Solution

The fourth proportional to 427,722.63, 641,292.34 and 216,954.15 is: 325,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,722.63 : 641,292.34 = 216,954.15 : x
  2. Step 2: Convert to fraction form
    427,722.63/641,292.34 = 216,954.15/x
  3. Step 3: Cross multiply
    427,722.63x = 641,292.34 × 216,954.15
  4. Step 4: Simplify right side
    427,722.63x = 139,131,034,526.21
  5. Step 5: Solve for x
    x = 139,131,034,526.21/427,722.63
  6. Step 6: Final answer
    x = 325,283.31

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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.