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Finding the Fourth Proportional to 505,051.36, 757,380.16 and 189,336

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Solution

The fourth proportional to 505,051.36, 757,380.16 and 189,336 is: 283,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,051.36 : 757,380.16 = 189,336 : x
  2. Step 2: Convert to fraction form
    505,051.36/757,380.16 = 189,336/x
  3. Step 3: Cross multiply
    505,051.36x = 757,380.16 × 189,336
  4. Step 4: Simplify right side
    505,051.36x = 143,399,329,973.76
  5. Step 5: Solve for x
    x = 143,399,329,973.76/505,051.36
  6. Step 6: Final answer
    x = 283,930.19

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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.