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Finding the Fourth Proportional to 273,711.88, 412,673.35 and 268,813

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Solution

The fourth proportional to 273,711.88, 412,673.35 and 268,813 is: 405,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,711.88 : 412,673.35 = 268,813 : x
  2. Step 2: Convert to fraction form
    273,711.88/412,673.35 = 268,813/x
  3. Step 3: Cross multiply
    273,711.88x = 412,673.35 × 268,813
  4. Step 4: Simplify right side
    273,711.88x = 110,931,961,233.55
  5. Step 5: Solve for x
    x = 110,931,961,233.55/273,711.88
  6. Step 6: Final answer
    x = 405,287.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.