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Finding the Fourth Proportional to 484,108.60, 726,260.10 and 405,765.40

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Solution

The fourth proportional to 484,108.60, 726,260.10 and 405,765.40 is: 608,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,108.60 : 726,260.10 = 405,765.40 : x
  2. Step 2: Convert to fraction form
    484,108.60/726,260.10 = 405,765.40/x
  3. Step 3: Cross multiply
    484,108.60x = 726,260.10 × 405,765.40
  4. Step 4: Simplify right side
    484,108.60x = 294,691,219,980.54
  5. Step 5: Solve for x
    x = 294,691,219,980.54/484,108.60
  6. Step 6: Final answer
    x = 608,729.57

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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.