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Finding the Fourth Proportional to 383,149.08, 528,762.15 and 213,383.21

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Solution

The fourth proportional to 383,149.08, 528,762.15 and 213,383.21 is: 294,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,149.08 : 528,762.15 = 213,383.21 : x
  2. Step 2: Convert to fraction form
    383,149.08/528,762.15 = 213,383.21/x
  3. Step 3: Cross multiply
    383,149.08x = 528,762.15 × 213,383.21
  4. Step 4: Simplify right side
    383,149.08x = 112,828,962,249.69
  5. Step 5: Solve for x
    x = 112,828,962,249.69/383,149.08
  6. Step 6: Final answer
    x = 294,477.97

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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.