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Finding the Fourth Proportional to 505,072.35, 757,386.84 and 189,307.83

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Solution

The fourth proportional to 505,072.35, 757,386.84 and 189,307.83 is: 283,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,072.35 : 757,386.84 = 189,307.83 : x
  2. Step 2: Convert to fraction form
    505,072.35/757,386.84 = 189,307.83/x
  3. Step 3: Cross multiply
    505,072.35x = 757,386.84 × 189,307.83
  4. Step 4: Simplify right side
    505,072.35x = 143,379,259,150.96
  5. Step 5: Solve for x
    x = 143,379,259,150.96/505,072.35
  6. Step 6: Final answer
    x = 283,878.65

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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.