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Finding the Fourth Proportional to 348,978.68, 523,728.53 and 259,228.60

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Solution

The fourth proportional to 348,978.68, 523,728.53 and 259,228.60 is: 389,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,978.68 : 523,728.53 = 259,228.60 : x
  2. Step 2: Convert to fraction form
    348,978.68/523,728.53 = 259,228.60/x
  3. Step 3: Cross multiply
    348,978.68x = 523,728.53 × 259,228.60
  4. Step 4: Simplify right side
    348,978.68x = 135,765,416,382.74
  5. Step 5: Solve for x
    x = 135,765,416,382.74/348,978.68
  6. Step 6: Final answer
    x = 389,036.42

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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.