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Finding the Fourth Proportional to 893,305, 1,232,760.90 and 490,897

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Solution

The fourth proportional to 893,305, 1,232,760.90 and 490,897 is: 677,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,305 : 1,232,760.90 = 490,897 : x
  2. Step 2: Convert to fraction form
    893,305/1,232,760.90 = 490,897/x
  3. Step 3: Cross multiply
    893,305x = 1,232,760.90 × 490,897
  4. Step 4: Simplify right side
    893,305x = 605,158,627,527.30
  5. Step 5: Solve for x
    x = 605,158,627,527.30/893,305
  6. Step 6: Final answer
    x = 677,437.86

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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.