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Finding the Fourth Proportional to 484,071.60, 726,107.40 and 306,778.80

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Solution

The fourth proportional to 484,071.60, 726,107.40 and 306,778.80 is: 460,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,071.60 : 726,107.40 = 306,778.80 : x
  2. Step 2: Convert to fraction form
    484,071.60/726,107.40 = 306,778.80/x
  3. Step 3: Cross multiply
    484,071.60x = 726,107.40 × 306,778.80
  4. Step 4: Simplify right side
    484,071.60x = 222,754,356,843.12
  5. Step 5: Solve for x
    x = 222,754,356,843.12/484,071.60
  6. Step 6: Final answer
    x = 460,168.20

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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.