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Finding the Fourth Proportional to 539,786.95, 809,683.07 and 219,942

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Solution

The fourth proportional to 539,786.95, 809,683.07 and 219,942 is: 329,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,786.95 : 809,683.07 = 219,942 : x
  2. Step 2: Convert to fraction form
    539,786.95/809,683.07 = 219,942/x
  3. Step 3: Cross multiply
    539,786.95x = 809,683.07 × 219,942
  4. Step 4: Simplify right side
    539,786.95x = 178,083,312,682.23
  5. Step 5: Solve for x
    x = 178,083,312,682.23/539,786.95
  6. Step 6: Final answer
    x = 329,914.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.