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Finding the Fourth Proportional to 530,403.54, 731,974.84 and 288,694.88

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Solution

The fourth proportional to 530,403.54, 731,974.84 and 288,694.88 is: 398,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,403.54 : 731,974.84 = 288,694.88 : x
  2. Step 2: Convert to fraction form
    530,403.54/731,974.84 = 288,694.88/x
  3. Step 3: Cross multiply
    530,403.54x = 731,974.84 × 288,694.88
  4. Step 4: Simplify right side
    530,403.54x = 211,317,388,596.82
  5. Step 5: Solve for x
    x = 211,317,388,596.82/530,403.54
  6. Step 6: Final answer
    x = 398,408.71

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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.