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Finding the Fourth Proportional to 815,511, 1,125,405.18 and 457,815

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Solution

The fourth proportional to 815,511, 1,125,405.18 and 457,815 is: 631,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,511 : 1,125,405.18 = 457,815 : x
  2. Step 2: Convert to fraction form
    815,511/1,125,405.18 = 457,815/x
  3. Step 3: Cross multiply
    815,511x = 1,125,405.18 × 457,815
  4. Step 4: Simplify right side
    815,511x = 515,227,372,481.70
  5. Step 5: Solve for x
    x = 515,227,372,481.70/815,511
  6. Step 6: Final answer
    x = 631,784.70

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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.