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Finding the Fourth Proportional to 201,465,313.20, 302,197,969.80 and 196,986,337.20

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Solution

The fourth proportional to 201,465,313.20, 302,197,969.80 and 196,986,337.20 is: 295,479,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465,313.20 : 302,197,969.80 = 196,986,337.20 : x
  2. Step 2: Convert to fraction form
    201,465,313.20/302,197,969.80 = 196,986,337.20/x
  3. Step 3: Cross multiply
    201,465,313.20x = 302,197,969.80 × 196,986,337.20
  4. Step 4: Simplify right side
    201,465,313.20x = 59,528,871,180,178,216
  5. Step 5: Solve for x
    x = 59,528,871,180,178,216/201,465,313.20
  6. Step 6: Final answer
    x = 295,479,505.80

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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.