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Finding the Fourth Proportional to 647,769.36, 893,926 and 361,308

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Solution

The fourth proportional to 647,769.36, 893,926 and 361,308 is: 498,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,769.36 : 893,926 = 361,308 : x
  2. Step 2: Convert to fraction form
    647,769.36/893,926 = 361,308/x
  3. Step 3: Cross multiply
    647,769.36x = 893,926 × 361,308
  4. Step 4: Simplify right side
    647,769.36x = 322,982,615,208
  5. Step 5: Solve for x
    x = 322,982,615,208/647,769.36
  6. Step 6: Final answer
    x = 498,607.43

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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.