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Finding the Fourth Proportional to 505,080, 757,397.04 and 189,315.47

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Solution

The fourth proportional to 505,080, 757,397.04 and 189,315.47 is: 283,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,080 : 757,397.04 = 189,315.47 : x
  2. Step 2: Convert to fraction form
    505,080/757,397.04 = 189,315.47/x
  3. Step 3: Cross multiply
    505,080x = 757,397.04 × 189,315.47
  4. Step 4: Simplify right side
    505,080x = 143,386,976,604.21
  5. Step 5: Solve for x
    x = 143,386,976,604.21/505,080
  6. Step 6: Final answer
    x = 283,889.63

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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.