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Finding the Fourth Proportional to 490,903.30, 677,434.80 and 321,133.78

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Solution

The fourth proportional to 490,903.30, 677,434.80 and 321,133.78 is: 443,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,903.30 : 677,434.80 = 321,133.78 : x
  2. Step 2: Convert to fraction form
    490,903.30/677,434.80 = 321,133.78/x
  3. Step 3: Cross multiply
    490,903.30x = 677,434.80 × 321,133.78
  4. Step 4: Simplify right side
    490,903.30x = 217,547,198,027.54
  5. Step 5: Solve for x
    x = 217,547,198,027.54/490,903.30
  6. Step 6: Final answer
    x = 443,156.93

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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.