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Finding the Fourth Proportional to 656,977, 906,628.26 and 355,171

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Solution

The fourth proportional to 656,977, 906,628.26 and 355,171 is: 490,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,977 : 906,628.26 = 355,171 : x
  2. Step 2: Convert to fraction form
    656,977/906,628.26 = 355,171/x
  3. Step 3: Cross multiply
    656,977x = 906,628.26 × 355,171
  4. Step 4: Simplify right side
    656,977x = 322,008,065,732.46
  5. Step 5: Solve for x
    x = 322,008,065,732.46/656,977
  6. Step 6: Final answer
    x = 490,135.98

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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.