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Finding the Fourth Proportional to 383,149.36, 528,762.52 and 213,383.49

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Solution

The fourth proportional to 383,149.36, 528,762.52 and 213,383.49 is: 294,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,149.36 : 528,762.52 = 213,383.49 : x
  2. Step 2: Convert to fraction form
    383,149.36/528,762.52 = 213,383.49/x
  3. Step 3: Cross multiply
    383,149.36x = 528,762.52 × 213,383.49
  4. Step 4: Simplify right side
    383,149.36x = 112,829,190,182.67
  5. Step 5: Solve for x
    x = 112,829,190,182.67/383,149.36
  6. Step 6: Final answer
    x = 294,478.35

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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.