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Finding the Fourth Proportional to 721,978.25, 996,434.24 and 415,996.02

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Solution

The fourth proportional to 721,978.25, 996,434.24 and 415,996.02 is: 574,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,978.25 : 996,434.24 = 415,996.02 : x
  2. Step 2: Convert to fraction form
    721,978.25/996,434.24 = 415,996.02/x
  3. Step 3: Cross multiply
    721,978.25x = 996,434.24 × 415,996.02
  4. Step 4: Simplify right side
    721,978.25x = 414,512,675,951.75
  5. Step 5: Solve for x
    x = 414,512,675,951.75/721,978.25
  6. Step 6: Final answer
    x = 574,134.58

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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.