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Finding the Fourth Proportional to 208,328.94, 287,414.64 and 154,011.54

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Solution

The fourth proportional to 208,328.94, 287,414.64 and 154,011.54 is: 212,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,328.94 : 287,414.64 = 154,011.54 : x
  2. Step 2: Convert to fraction form
    208,328.94/287,414.64 = 154,011.54/x
  3. Step 3: Cross multiply
    208,328.94x = 287,414.64 × 154,011.54
  4. Step 4: Simplify right side
    208,328.94x = 44,265,171,324.95
  5. Step 5: Solve for x
    x = 44,265,171,324.95/208,328.94
  6. Step 6: Final answer
    x = 212,477.30

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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.