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Finding the Fourth Proportional to 201,866.40, 302,799.60 and 197,719.20

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Solution

The fourth proportional to 201,866.40, 302,799.60 and 197,719.20 is: 296,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,866.40 : 302,799.60 = 197,719.20 : x
  2. Step 2: Convert to fraction form
    201,866.40/302,799.60 = 197,719.20/x
  3. Step 3: Cross multiply
    201,866.40x = 302,799.60 × 197,719.20
  4. Step 4: Simplify right side
    201,866.40x = 59,869,294,672.32
  5. Step 5: Solve for x
    x = 59,869,294,672.32/201,866.40
  6. Step 6: Final answer
    x = 296,578.80

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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.