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Finding the Fourth Proportional to 348,978.86, 523,728.84 and 259,228.82

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Solution

The fourth proportional to 348,978.86, 523,728.84 and 259,228.82 is: 389,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,978.86 : 523,728.84 = 259,228.82 : x
  2. Step 2: Convert to fraction form
    348,978.86/523,728.84 = 259,228.82/x
  3. Step 3: Cross multiply
    348,978.86x = 523,728.84 × 259,228.82
  4. Step 4: Simplify right side
    348,978.86x = 135,765,610,016.44
  5. Step 5: Solve for x
    x = 135,765,610,016.44/348,978.86
  6. Step 6: Final answer
    x = 389,036.77

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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.