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Finding the Fourth Proportional to 505,802.64, 759,078.24 and 239,563.80

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Solution

The fourth proportional to 505,802.64, 759,078.24 and 239,563.80 is: 359,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,802.64 : 759,078.24 = 239,563.80 : x
  2. Step 2: Convert to fraction form
    505,802.64/759,078.24 = 239,563.80/x
  3. Step 3: Cross multiply
    505,802.64x = 759,078.24 × 239,563.80
  4. Step 4: Simplify right side
    505,802.64x = 181,847,667,671.71
  5. Step 5: Solve for x
    x = 181,847,667,671.71/505,802.64
  6. Step 6: Final answer
    x = 359,522.97

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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.