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Finding the Fourth Proportional to 621,407.40, 929,969.34 and 381,361.96

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Solution

The fourth proportional to 621,407.40, 929,969.34 and 381,361.96 is: 570,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,407.40 : 929,969.34 = 381,361.96 : x
  2. Step 2: Convert to fraction form
    621,407.40/929,969.34 = 381,361.96/x
  3. Step 3: Cross multiply
    621,407.40x = 929,969.34 × 381,361.96
  4. Step 4: Simplify right side
    621,407.40x = 354,654,930,242.31
  5. Step 5: Solve for x
    x = 354,654,930,242.31/621,407.40
  6. Step 6: Final answer
    x = 570,728.53

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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.