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Finding the Fourth Proportional to 497,434.68, 686,459.88 and 271,080

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Solution

The fourth proportional to 497,434.68, 686,459.88 and 271,080 is: 374,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,434.68 : 686,459.88 = 271,080 : x
  2. Step 2: Convert to fraction form
    497,434.68/686,459.88 = 271,080/x
  3. Step 3: Cross multiply
    497,434.68x = 686,459.88 × 271,080
  4. Step 4: Simplify right side
    497,434.68x = 186,085,544,270.40
  5. Step 5: Solve for x
    x = 186,085,544,270.40/497,434.68
  6. Step 6: Final answer
    x = 374,090.41

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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.