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Finding the Fourth Proportional to 497,568.78, 686,646.12 and 271,214.28

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Solution

The fourth proportional to 497,568.78, 686,646.12 and 271,214.28 is: 374,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,568.78 : 686,646.12 = 271,214.28 : x
  2. Step 2: Convert to fraction form
    497,568.78/686,646.12 = 271,214.28/x
  3. Step 3: Cross multiply
    497,568.78x = 686,646.12 × 271,214.28
  4. Step 4: Simplify right side
    497,568.78x = 186,228,233,050.59
  5. Step 5: Solve for x
    x = 186,228,233,050.59/497,568.78
  6. Step 6: Final answer
    x = 374,276.36

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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.