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Finding the Fourth Proportional to 505,966.16, 759,080.40 and 269,114

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Solution

The fourth proportional to 505,966.16, 759,080.40 and 269,114 is: 403,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,966.16 : 759,080.40 = 269,114 : x
  2. Step 2: Convert to fraction form
    505,966.16/759,080.40 = 269,114/x
  3. Step 3: Cross multiply
    505,966.16x = 759,080.40 × 269,114
  4. Step 4: Simplify right side
    505,966.16x = 204,279,162,765.60
  5. Step 5: Solve for x
    x = 204,279,162,765.60/505,966.16
  6. Step 6: Final answer
    x = 403,740.76

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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.