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Finding the Fourth Proportional to 490,634.64, 677,138.40 and 299,607.84

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Solution

The fourth proportional to 490,634.64, 677,138.40 and 299,607.84 is: 413,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,634.64 : 677,138.40 = 299,607.84 : x
  2. Step 2: Convert to fraction form
    490,634.64/677,138.40 = 299,607.84/x
  3. Step 3: Cross multiply
    490,634.64x = 677,138.40 × 299,607.84
  4. Step 4: Simplify right side
    490,634.64x = 202,875,973,405.06
  5. Step 5: Solve for x
    x = 202,875,973,405.06/490,634.64
  6. Step 6: Final answer
    x = 413,497.04

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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.