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Finding the Fourth Proportional to 561,297.78, 842,078.16 and 383,888.34

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Solution

The fourth proportional to 561,297.78, 842,078.16 and 383,888.34 is: 575,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,297.78 : 842,078.16 = 383,888.34 : x
  2. Step 2: Convert to fraction form
    561,297.78/842,078.16 = 383,888.34/x
  3. Step 3: Cross multiply
    561,297.78x = 842,078.16 × 383,888.34
  4. Step 4: Simplify right side
    561,297.78x = 323,263,986,992.65
  5. Step 5: Solve for x
    x = 323,263,986,992.65/561,297.78
  6. Step 6: Final answer
    x = 575,922.44

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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.