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Finding the Fourth Proportional to 498,090.47, 687,362.56 and 271,735.97

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Solution

The fourth proportional to 498,090.47, 687,362.56 and 271,735.97 is: 374,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,090.47 : 687,362.56 = 271,735.97 : x
  2. Step 2: Convert to fraction form
    498,090.47/687,362.56 = 271,735.97/x
  3. Step 3: Cross multiply
    498,090.47x = 687,362.56 × 271,735.97
  4. Step 4: Simplify right side
    498,090.47x = 186,781,127,867.13
  5. Step 5: Solve for x
    x = 186,781,127,867.13/498,090.47
  6. Step 6: Final answer
    x = 374,994.39

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1.5x scale

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.