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Finding the Fourth Proportional to 420,561.36, 580,352.52 and 229,537.68

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Solution

The fourth proportional to 420,561.36, 580,352.52 and 229,537.68 is: 316,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,561.36 : 580,352.52 = 229,537.68 : x
  2. Step 2: Convert to fraction form
    420,561.36/580,352.52 = 229,537.68/x
  3. Step 3: Cross multiply
    420,561.36x = 580,352.52 × 229,537.68
  4. Step 4: Simplify right side
    420,561.36x = 133,212,771,022.95
  5. Step 5: Solve for x
    x = 133,212,771,022.95/420,561.36
  6. Step 6: Final answer
    x = 316,749.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.