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Finding the Fourth Proportional to 455,406.04, 682,989.82 and 135,471.72

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Solution

The fourth proportional to 455,406.04, 682,989.82 and 135,471.72 is: 203,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,406.04 : 682,989.82 = 135,471.72 : x
  2. Step 2: Convert to fraction form
    455,406.04/682,989.82 = 135,471.72/x
  3. Step 3: Cross multiply
    455,406.04x = 682,989.82 × 135,471.72
  4. Step 4: Simplify right side
    455,406.04x = 92,525,805,657.89
  5. Step 5: Solve for x
    x = 92,525,805,657.89/455,406.04
  6. Step 6: Final answer
    x = 203,172.11

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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.