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Finding the Fourth Proportional to 428,460.46, 641,989.46 and 260,032.41

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Solution

The fourth proportional to 428,460.46, 641,989.46 and 260,032.41 is: 389,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,460.46 : 641,989.46 = 260,032.41 : x
  2. Step 2: Convert to fraction form
    428,460.46/641,989.46 = 260,032.41/x
  3. Step 3: Cross multiply
    428,460.46x = 641,989.46 × 260,032.41
  4. Step 4: Simplify right side
    428,460.46x = 166,938,067,128.48
  5. Step 5: Solve for x
    x = 166,938,067,128.48/428,460.46
  6. Step 6: Final answer
    x = 389,623.04

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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.