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Finding the Fourth Proportional to 543,280.86, 815,076.81 and 262,956.06

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Solution

The fourth proportional to 543,280.86, 815,076.81 and 262,956.06 is: 394,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,280.86 : 815,076.81 = 262,956.06 : x
  2. Step 2: Convert to fraction form
    543,280.86/815,076.81 = 262,956.06/x
  3. Step 3: Cross multiply
    543,280.86x = 815,076.81 × 262,956.06
  4. Step 4: Simplify right side
    543,280.86x = 214,329,386,554.97
  5. Step 5: Solve for x
    x = 214,329,386,554.97/543,280.86
  6. Step 6: Final answer
    x = 394,509.36

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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.