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Finding the Fourth Proportional to 213,950.34, 320,805.45 and 146,558.54

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Solution

The fourth proportional to 213,950.34, 320,805.45 and 146,558.54 is: 219,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,950.34 : 320,805.45 = 146,558.54 : x
  2. Step 2: Convert to fraction form
    213,950.34/320,805.45 = 146,558.54/x
  3. Step 3: Cross multiply
    213,950.34x = 320,805.45 × 146,558.54
  4. Step 4: Simplify right side
    213,950.34x = 47,016,779,544.45
  5. Step 5: Solve for x
    x = 47,016,779,544.45/213,950.34
  6. Step 6: Final answer
    x = 219,755.57

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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.