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Finding the Fourth Proportional to 294,011.78, 440,667.74 and 204,782.18

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Solution

The fourth proportional to 294,011.78, 440,667.74 and 204,782.18 is: 306,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,011.78 : 440,667.74 = 204,782.18 : x
  2. Step 2: Convert to fraction form
    294,011.78/440,667.74 = 204,782.18/x
  3. Step 3: Cross multiply
    294,011.78x = 440,667.74 × 204,782.18
  4. Step 4: Simplify right side
    294,011.78x = 90,240,900,452.87
  5. Step 5: Solve for x
    x = 90,240,900,452.87/294,011.78
  6. Step 6: Final answer
    x = 306,929.54

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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.