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Finding the Fourth Proportional to 530,418.27, 731,992.68 and 288,716.46

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Solution

The fourth proportional to 530,418.27, 731,992.68 and 288,716.46 is: 398,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,418.27 : 731,992.68 = 288,716.46 : x
  2. Step 2: Convert to fraction form
    530,418.27/731,992.68 = 288,716.46/x
  3. Step 3: Cross multiply
    530,418.27x = 731,992.68 × 288,716.46
  4. Step 4: Simplify right side
    530,418.27x = 211,338,335,315.51
  5. Step 5: Solve for x
    x = 211,338,335,315.51/530,418.27
  6. Step 6: Final answer
    x = 398,437.13

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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.