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Finding the Fourth Proportional to 328,283.73, 492,478.29 and 138,745.98

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Solution

The fourth proportional to 328,283.73, 492,478.29 and 138,745.98 is: 208,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,283.73 : 492,478.29 = 138,745.98 : x
  2. Step 2: Convert to fraction form
    328,283.73/492,478.29 = 138,745.98/x
  3. Step 3: Cross multiply
    328,283.73x = 492,478.29 × 138,745.98
  4. Step 4: Simplify right side
    328,283.73x = 68,329,382,974.77
  5. Step 5: Solve for x
    x = 68,329,382,974.77/328,283.73
  6. Step 6: Final answer
    x = 208,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.