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Finding the Fourth Proportional to 356,377.94, 491,801.54 and 213,138

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Solution

The fourth proportional to 356,377.94, 491,801.54 and 213,138 is: 294,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,377.94 : 491,801.54 = 213,138 : x
  2. Step 2: Convert to fraction form
    356,377.94/491,801.54 = 213,138/x
  3. Step 3: Cross multiply
    356,377.94x = 491,801.54 × 213,138
  4. Step 4: Simplify right side
    356,377.94x = 104,821,596,632.52
  5. Step 5: Solve for x
    x = 104,821,596,632.52/356,377.94
  6. Step 6: Final answer
    x = 294,130.43

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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.