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Finding the Fourth Proportional to 484,107.60, 726,258.60 and 405,764.40

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Solution

The fourth proportional to 484,107.60, 726,258.60 and 405,764.40 is: 608,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,107.60 : 726,258.60 = 405,764.40 : x
  2. Step 2: Convert to fraction form
    484,107.60/726,258.60 = 405,764.40/x
  3. Step 3: Cross multiply
    484,107.60x = 726,258.60 × 405,764.40
  4. Step 4: Simplify right side
    484,107.60x = 294,689,885,073.84
  5. Step 5: Solve for x
    x = 294,689,885,073.84/484,107.60
  6. Step 6: Final answer
    x = 608,728.07

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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.