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Finding the Fourth Proportional to 512,457.20, 768,685.80 and 489,129.20

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Solution

The fourth proportional to 512,457.20, 768,685.80 and 489,129.20 is: 733,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,457.20 : 768,685.80 = 489,129.20 : x
  2. Step 2: Convert to fraction form
    512,457.20/768,685.80 = 489,129.20/x
  3. Step 3: Cross multiply
    512,457.20x = 768,685.80 × 489,129.20
  4. Step 4: Simplify right side
    512,457.20x = 375,986,670,405.36
  5. Step 5: Solve for x
    x = 375,986,670,405.36/512,457.20
  6. Step 6: Final answer
    x = 733,693.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.