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Finding the Fourth Proportional to 505,081, 757,398.54 and 189,316.47

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Solution

The fourth proportional to 505,081, 757,398.54 and 189,316.47 is: 283,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,081 : 757,398.54 = 189,316.47 : x
  2. Step 2: Convert to fraction form
    505,081/757,398.54 = 189,316.47/x
  3. Step 3: Cross multiply
    505,081x = 757,398.54 × 189,316.47
  4. Step 4: Simplify right side
    505,081x = 143,388,017,975.95
  5. Step 5: Solve for x
    x = 143,388,017,975.95/505,081
  6. Step 6: Final answer
    x = 283,891.13

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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.