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Finding the Fourth Proportional to 201,740.20, 302,610.30 and 170,636.20

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Solution

The fourth proportional to 201,740.20, 302,610.30 and 170,636.20 is: 255,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740.20 : 302,610.30 = 170,636.20 : x
  2. Step 2: Convert to fraction form
    201,740.20/302,610.30 = 170,636.20/x
  3. Step 3: Cross multiply
    201,740.20x = 302,610.30 × 170,636.20
  4. Step 4: Simplify right side
    201,740.20x = 51,636,271,672.86
  5. Step 5: Solve for x
    x = 51,636,271,672.86/201,740.20
  6. Step 6: Final answer
    x = 255,954.30

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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.