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Finding the Fourth Proportional to 383,228.46, 528,871.59 and 213,462.66

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Solution

The fourth proportional to 383,228.46, 528,871.59 and 213,462.66 is: 294,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,228.46 : 528,871.59 = 213,462.66 : x
  2. Step 2: Convert to fraction form
    383,228.46/528,871.59 = 213,462.66/x
  3. Step 3: Cross multiply
    383,228.46x = 528,871.59 × 213,462.66
  4. Step 4: Simplify right side
    383,228.46x = 112,894,336,399.83
  5. Step 5: Solve for x
    x = 112,894,336,399.83/383,228.46
  6. Step 6: Final answer
    x = 294,587.56

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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.