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Finding the Fourth Proportional to 530,266, 731,645.80 and 300,768.48

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Solution

The fourth proportional to 530,266, 731,645.80 and 300,768.48 is: 414,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,266 : 731,645.80 = 300,768.48 : x
  2. Step 2: Convert to fraction form
    530,266/731,645.80 = 300,768.48/x
  3. Step 3: Cross multiply
    530,266x = 731,645.80 × 300,768.48
  4. Step 4: Simplify right side
    530,266x = 220,055,995,164.38
  5. Step 5: Solve for x
    x = 220,055,995,164.38/530,266
  6. Step 6: Final answer
    x = 414,991.71

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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.