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Finding the Fourth Proportional to 505,115.10, 757,642.89 and 189,545.34

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Solution

The fourth proportional to 505,115.10, 757,642.89 and 189,545.34 is: 284,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,115.10 : 757,642.89 = 189,545.34 : x
  2. Step 2: Convert to fraction form
    505,115.10/757,642.89 = 189,545.34/x
  3. Step 3: Cross multiply
    505,115.10x = 757,642.89 × 189,545.34
  4. Step 4: Simplify right side
    505,115.10x = 143,607,679,183.63
  5. Step 5: Solve for x
    x = 143,607,679,183.63/505,115.10
  6. Step 6: Final answer
    x = 284,306.84

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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.