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Finding the Fourth Proportional to 455,211.20, 682,816.80 and 410,110.40

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Solution

The fourth proportional to 455,211.20, 682,816.80 and 410,110.40 is: 615,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,211.20 : 682,816.80 = 410,110.40 : x
  2. Step 2: Convert to fraction form
    455,211.20/682,816.80 = 410,110.40/x
  3. Step 3: Cross multiply
    455,211.20x = 682,816.80 × 410,110.40
  4. Step 4: Simplify right side
    455,211.20x = 280,030,270,974.72
  5. Step 5: Solve for x
    x = 280,030,270,974.72/455,211.20
  6. Step 6: Final answer
    x = 615,165.60

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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.