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Finding the Fourth Proportional to 484,358.40, 726,969.60 and 284,428.80

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Solution

The fourth proportional to 484,358.40, 726,969.60 and 284,428.80 is: 426,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,358.40 : 726,969.60 = 284,428.80 : x
  2. Step 2: Convert to fraction form
    484,358.40/726,969.60 = 284,428.80/x
  3. Step 3: Cross multiply
    484,358.40x = 726,969.60 × 284,428.80
  4. Step 4: Simplify right side
    484,358.40x = 206,771,090,964.48
  5. Step 5: Solve for x
    x = 206,771,090,964.48/484,358.40
  6. Step 6: Final answer
    x = 426,896.88

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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.