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Finding the Fourth Proportional to 497,806.28, 686,971.40 and 271,451.78

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Solution

The fourth proportional to 497,806.28, 686,971.40 and 271,451.78 is: 374,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,806.28 : 686,971.40 = 271,451.78 : x
  2. Step 2: Convert to fraction form
    497,806.28/686,971.40 = 271,451.78/x
  3. Step 3: Cross multiply
    497,806.28x = 686,971.40 × 271,451.78
  4. Step 4: Simplify right side
    497,806.28x = 186,479,609,339.09
  5. Step 5: Solve for x
    x = 186,479,609,339.09/497,806.28
  6. Step 6: Final answer
    x = 374,602.77

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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.