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Finding the Fourth Proportional to 484,359.40, 726,971.10 and 284,429.80

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Solution

The fourth proportional to 484,359.40, 726,971.10 and 284,429.80 is: 426,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,359.40 : 726,971.10 = 284,429.80 : x
  2. Step 2: Convert to fraction form
    484,359.40/726,971.10 = 284,429.80/x
  3. Step 3: Cross multiply
    484,359.40x = 726,971.10 × 284,429.80
  4. Step 4: Simplify right side
    484,359.40x = 206,772,244,578.78
  5. Step 5: Solve for x
    x = 206,772,244,578.78/484,359.40
  6. Step 6: Final answer
    x = 426,898.38

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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.