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Finding the Fourth Proportional to 201,706.40, 302,559.60 and 170,213.60

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Solution

The fourth proportional to 201,706.40, 302,559.60 and 170,213.60 is: 255,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.40 : 302,559.60 = 170,213.60 : x
  2. Step 2: Convert to fraction form
    201,706.40/302,559.60 = 170,213.60/x
  3. Step 3: Cross multiply
    201,706.40x = 302,559.60 × 170,213.60
  4. Step 4: Simplify right side
    201,706.40x = 51,499,758,730.56
  5. Step 5: Solve for x
    x = 51,499,758,730.56/201,706.40
  6. Step 6: Final answer
    x = 255,320.40

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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.