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Finding the Fourth Proportional to 493,340.60, 740,035.20 and 257,144.60

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Solution

The fourth proportional to 493,340.60, 740,035.20 and 257,144.60 is: 385,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,340.60 : 740,035.20 = 257,144.60 : x
  2. Step 2: Convert to fraction form
    493,340.60/740,035.20 = 257,144.60/x
  3. Step 3: Cross multiply
    493,340.60x = 740,035.20 × 257,144.60
  4. Step 4: Simplify right side
    493,340.60x = 190,296,055,489.92
  5. Step 5: Solve for x
    x = 190,296,055,489.92/493,340.60
  6. Step 6: Final answer
    x = 385,729.57

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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.