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Finding the Fourth Proportional to 612,965.20, 919,010.40 and 275,729.80

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Solution

The fourth proportional to 612,965.20, 919,010.40 and 275,729.80 is: 413,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,965.20 : 919,010.40 = 275,729.80 : x
  2. Step 2: Convert to fraction form
    612,965.20/919,010.40 = 275,729.80/x
  3. Step 3: Cross multiply
    612,965.20x = 919,010.40 × 275,729.80
  4. Step 4: Simplify right side
    612,965.20x = 253,398,553,789.92
  5. Step 5: Solve for x
    x = 253,398,553,789.92/612,965.20
  6. Step 6: Final answer
    x = 413,397.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.