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Finding the Fourth Proportional to 379,509.54, 523,833.30 and 218,478.30

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Solution

The fourth proportional to 379,509.54, 523,833.30 and 218,478.30 is: 301,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,509.54 : 523,833.30 = 218,478.30 : x
  2. Step 2: Convert to fraction form
    379,509.54/523,833.30 = 218,478.30/x
  3. Step 3: Cross multiply
    379,509.54x = 523,833.30 × 218,478.30
  4. Step 4: Simplify right side
    379,509.54x = 114,446,208,867.39
  5. Step 5: Solve for x
    x = 114,446,208,867.39/379,509.54
  6. Step 6: Final answer
    x = 301,563.46

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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.