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Finding the Fourth Proportional to 200,784, 301,193.28 and 53,040

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Solution

The fourth proportional to 200,784, 301,193.28 and 53,040 is: 79,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784 : 301,193.28 = 53,040 : x
  2. Step 2: Convert to fraction form
    200,784/301,193.28 = 53,040/x
  3. Step 3: Cross multiply
    200,784x = 301,193.28 × 53,040
  4. Step 4: Simplify right side
    200,784x = 15,975,291,571.20
  5. Step 5: Solve for x
    x = 15,975,291,571.20/200,784
  6. Step 6: Final answer
    x = 79,564.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.