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Finding the Fourth Proportional to 255,916.82, 383,087.84 and 166,978.82

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Solution

The fourth proportional to 255,916.82, 383,087.84 and 166,978.82 is: 249,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,916.82 : 383,087.84 = 166,978.82 : x
  2. Step 2: Convert to fraction form
    255,916.82/383,087.84 = 166,978.82/x
  3. Step 3: Cross multiply
    255,916.82x = 383,087.84 × 166,978.82
  4. Step 4: Simplify right side
    255,916.82x = 63,967,552,729.22
  5. Step 5: Solve for x
    x = 63,967,552,729.22/255,916.82
  6. Step 6: Final answer
    x = 249,954.47

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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.