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Finding the Fourth Proportional to 383,231.50, 528,875.78 and 213,465.58

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Solution

The fourth proportional to 383,231.50, 528,875.78 and 213,465.58 is: 294,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,231.50 : 528,875.78 = 213,465.58 : x
  2. Step 2: Convert to fraction form
    383,231.50/528,875.78 = 213,465.58/x
  3. Step 3: Cross multiply
    383,231.50x = 528,875.78 × 213,465.58
  4. Step 4: Simplify right side
    383,231.50x = 112,896,775,125.65
  5. Step 5: Solve for x
    x = 112,896,775,125.65/383,231.50
  6. Step 6: Final answer
    x = 294,591.59

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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.