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Finding the Fourth Proportional to 517,396.80, 776,980.80 and 281,200.80

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Solution

The fourth proportional to 517,396.80, 776,980.80 and 281,200.80 is: 422,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,396.80 : 776,980.80 = 281,200.80 : x
  2. Step 2: Convert to fraction form
    517,396.80/776,980.80 = 281,200.80/x
  3. Step 3: Cross multiply
    517,396.80x = 776,980.80 × 281,200.80
  4. Step 4: Simplify right side
    517,396.80x = 218,487,622,544.64
  5. Step 5: Solve for x
    x = 218,487,622,544.64/517,396.80
  6. Step 6: Final answer
    x = 422,282.52

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1.5x scale

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.