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Finding the Fourth Proportional to 354,313.60, 488,651.94 and 299,392.00

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Solution

The fourth proportional to 354,313.60, 488,651.94 and 299,392.00 is: 412,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,313.60 : 488,651.94 = 299,392.00 : x
  2. Step 2: Convert to fraction form
    354,313.60/488,651.94 = 299,392.00/x
  3. Step 3: Cross multiply
    354,313.60x = 488,651.94 × 299,392.00
  4. Step 4: Simplify right side
    354,313.60x = 146,298,480,398.85
  5. Step 5: Solve for x
    x = 146,298,480,398.85/354,313.60
  6. Step 6: Final answer
    x = 412,906.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.