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Finding the Fourth Proportional to 530,186.26, 731,635.14 and 288,469.80

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Solution

The fourth proportional to 530,186.26, 731,635.14 and 288,469.80 is: 398,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,186.26 : 731,635.14 = 288,469.80 : x
  2. Step 2: Convert to fraction form
    530,186.26/731,635.14 = 288,469.80/x
  3. Step 3: Cross multiply
    530,186.26x = 731,635.14 × 288,469.80
  4. Step 4: Simplify right side
    530,186.26x = 211,054,642,508.77
  5. Step 5: Solve for x
    x = 211,054,642,508.77/530,186.26
  6. Step 6: Final answer
    x = 398,076.41

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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.