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Finding the Fourth Proportional to 383,166.81, 528,786.63 and 213,400.98

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Solution

The fourth proportional to 383,166.81, 528,786.63 and 213,400.98 is: 294,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,166.81 : 528,786.63 = 213,400.98 : x
  2. Step 2: Convert to fraction form
    383,166.81/528,786.63 = 213,400.98/x
  3. Step 3: Cross multiply
    383,166.81x = 528,786.63 × 213,400.98
  4. Step 4: Simplify right side
    383,166.81x = 112,843,585,052.90
  5. Step 5: Solve for x
    x = 112,843,585,052.90/383,166.81
  6. Step 6: Final answer
    x = 294,502.50

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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.