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Finding the Fourth Proportional to 363,715.20, 546,739.20 and 259,257.60

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Solution

The fourth proportional to 363,715.20, 546,739.20 and 259,257.60 is: 389,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,715.20 : 546,739.20 = 259,257.60 : x
  2. Step 2: Convert to fraction form
    363,715.20/546,739.20 = 259,257.60/x
  3. Step 3: Cross multiply
    363,715.20x = 546,739.20 × 259,257.60
  4. Step 4: Simplify right side
    363,715.20x = 141,746,292,817.92
  5. Step 5: Solve for x
    x = 141,746,292,817.92/363,715.20
  6. Step 6: Final answer
    x = 389,717.81

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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.