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Finding the Fourth Proportional to 530,407.32, 731,906.94 and 300,891.48

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Solution

The fourth proportional to 530,407.32, 731,906.94 and 300,891.48 is: 415,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,407.32 : 731,906.94 = 300,891.48 : x
  2. Step 2: Convert to fraction form
    530,407.32/731,906.94 = 300,891.48/x
  3. Step 3: Cross multiply
    530,407.32x = 731,906.94 × 300,891.48
  4. Step 4: Simplify right side
    530,407.32x = 220,224,562,398.87
  5. Step 5: Solve for x
    x = 220,224,562,398.87/530,407.32
  6. Step 6: Final answer
    x = 415,198.95

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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.