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Finding the Fourth Proportional to 313,054.14, 430,420.53 and 278,742.54

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Solution

The fourth proportional to 313,054.14, 430,420.53 and 278,742.54 is: 383,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,054.14 : 430,420.53 = 278,742.54 : x
  2. Step 2: Convert to fraction form
    313,054.14/430,420.53 = 278,742.54/x
  3. Step 3: Cross multiply
    313,054.14x = 430,420.53 × 278,742.54
  4. Step 4: Simplify right side
    313,054.14x = 119,976,511,800.35
  5. Step 5: Solve for x
    x = 119,976,511,800.35/313,054.14
  6. Step 6: Final answer
    x = 383,245.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.