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Finding the Fourth Proportional to 428,378.83, 590,972.54 and 275,388.62

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Solution

The fourth proportional to 428,378.83, 590,972.54 and 275,388.62 is: 379,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,378.83 : 590,972.54 = 275,388.62 : x
  2. Step 2: Convert to fraction form
    428,378.83/590,972.54 = 275,388.62/x
  3. Step 3: Cross multiply
    428,378.83x = 590,972.54 × 275,388.62
  4. Step 4: Simplify right side
    428,378.83x = 162,747,107,916.69
  5. Step 5: Solve for x
    x = 162,747,107,916.69/428,378.83
  6. Step 6: Final answer
    x = 379,913.99

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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.