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Finding the Fourth Proportional to 540,466.74, 745,843.86 and 298,749.42

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Solution

The fourth proportional to 540,466.74, 745,843.86 and 298,749.42 is: 412,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,466.74 : 745,843.86 = 298,749.42 : x
  2. Step 2: Convert to fraction form
    540,466.74/745,843.86 = 298,749.42/x
  3. Step 3: Cross multiply
    540,466.74x = 745,843.86 × 298,749.42
  4. Step 4: Simplify right side
    540,466.74x = 222,820,420,585.56
  5. Step 5: Solve for x
    x = 222,820,420,585.56/540,466.74
  6. Step 6: Final answer
    x = 412,274.07

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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.