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Finding the Fourth Proportional to 484,101.60, 726,249.60 and 405,758.40

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Solution

The fourth proportional to 484,101.60, 726,249.60 and 405,758.40 is: 608,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,101.60 : 726,249.60 = 405,758.40 : x
  2. Step 2: Convert to fraction form
    484,101.60/726,249.60 = 405,758.40/x
  3. Step 3: Cross multiply
    484,101.60x = 726,249.60 × 405,758.40
  4. Step 4: Simplify right side
    484,101.60x = 294,681,875,696.64
  5. Step 5: Solve for x
    x = 294,681,875,696.64/484,101.60
  6. Step 6: Final answer
    x = 608,719.07

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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.