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Finding the Fourth Proportional to 513,538.40, 768,849.60 and 485,609.60

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Solution

The fourth proportional to 513,538.40, 768,849.60 and 485,609.60 is: 727,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,538.40 : 768,849.60 = 485,609.60 : x
  2. Step 2: Convert to fraction form
    513,538.40/768,849.60 = 485,609.60/x
  3. Step 3: Cross multiply
    513,538.40x = 768,849.60 × 485,609.60
  4. Step 4: Simplify right side
    513,538.40x = 373,360,746,716.16
  5. Step 5: Solve for x
    x = 373,360,746,716.16/513,538.40
  6. Step 6: Final answer
    x = 727,035.69

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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.