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Finding the Fourth Proportional to 456,812.60, 683,274.90 and 409,767.80

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Solution

The fourth proportional to 456,812.60, 683,274.90 and 409,767.80 is: 612,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,812.60 : 683,274.90 = 409,767.80 : x
  2. Step 2: Convert to fraction form
    456,812.60/683,274.90 = 409,767.80/x
  3. Step 3: Cross multiply
    456,812.60x = 683,274.90 × 409,767.80
  4. Step 4: Simplify right side
    456,812.60x = 279,984,052,568.22
  5. Step 5: Solve for x
    x = 279,984,052,568.22/456,812.60
  6. Step 6: Final answer
    x = 612,907.90

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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.