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Finding the Fourth Proportional to 497,394.54, 686,405.34 and 271,040.04

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Solution

The fourth proportional to 497,394.54, 686,405.34 and 271,040.04 is: 374,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,394.54 : 686,405.34 = 271,040.04 : x
  2. Step 2: Convert to fraction form
    497,394.54/686,405.34 = 271,040.04/x
  3. Step 3: Cross multiply
    497,394.54x = 686,405.34 × 271,040.04
  4. Step 4: Simplify right side
    497,394.54x = 186,043,330,809.81
  5. Step 5: Solve for x
    x = 186,043,330,809.81/497,394.54
  6. Step 6: Final answer
    x = 374,035.73

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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.