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Finding the Fourth Proportional to 253,866.85, 380,879.87 and 152,775.21

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Solution

The fourth proportional to 253,866.85, 380,879.87 and 152,775.21 is: 229,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,866.85 : 380,879.87 = 152,775.21 : x
  2. Step 2: Convert to fraction form
    253,866.85/380,879.87 = 152,775.21/x
  3. Step 3: Cross multiply
    253,866.85x = 380,879.87 × 152,775.21
  4. Step 4: Simplify right side
    253,866.85x = 58,189,002,124.02
  5. Step 5: Solve for x
    x = 58,189,002,124.02/253,866.85
  6. Step 6: Final answer
    x = 229,210.71

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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.