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Finding the Fourth Proportional to 312,511.54, 430,982.46 and 205,040.74

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Solution

The fourth proportional to 312,511.54, 430,982.46 and 205,040.74 is: 282,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,511.54 : 430,982.46 = 205,040.74 : x
  2. Step 2: Convert to fraction form
    312,511.54/430,982.46 = 205,040.74/x
  3. Step 3: Cross multiply
    312,511.54x = 430,982.46 × 205,040.74
  4. Step 4: Simplify right side
    312,511.54x = 88,368,962,525.42
  5. Step 5: Solve for x
    x = 88,368,962,525.42/312,511.54
  6. Step 6: Final answer
    x = 282,770.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.