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Finding the Fourth Proportional to 338,986.80, 508,982.40 and 189,525.60

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Solution

The fourth proportional to 338,986.80, 508,982.40 and 189,525.60 is: 284,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,986.80 : 508,982.40 = 189,525.60 : x
  2. Step 2: Convert to fraction form
    338,986.80/508,982.40 = 189,525.60/x
  3. Step 3: Cross multiply
    338,986.80x = 508,982.40 × 189,525.60
  4. Step 4: Simplify right side
    338,986.80x = 96,465,194,749.44
  5. Step 5: Solve for x
    x = 96,465,194,749.44/338,986.80
  6. Step 6: Final answer
    x = 284,569.18

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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.