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Finding the Fourth Proportional to 201,421.80, 302,132.70 and 188,980.20

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Solution

The fourth proportional to 201,421.80, 302,132.70 and 188,980.20 is: 283,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421.80 : 302,132.70 = 188,980.20 : x
  2. Step 2: Convert to fraction form
    201,421.80/302,132.70 = 188,980.20/x
  3. Step 3: Cross multiply
    201,421.80x = 302,132.70 × 188,980.20
  4. Step 4: Simplify right side
    201,421.80x = 57,097,098,072.54
  5. Step 5: Solve for x
    x = 57,097,098,072.54/201,421.80
  6. Step 6: Final answer
    x = 283,470.30

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1.5x scale

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.