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Finding the Fourth Proportional to 497,398.50, 686,410.02 and 271,044

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Solution

The fourth proportional to 497,398.50, 686,410.02 and 271,044 is: 374,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,398.50 : 686,410.02 = 271,044 : x
  2. Step 2: Convert to fraction form
    497,398.50/686,410.02 = 271,044/x
  3. Step 3: Cross multiply
    497,398.50x = 686,410.02 × 271,044
  4. Step 4: Simplify right side
    497,398.50x = 186,047,317,460.88
  5. Step 5: Solve for x
    x = 186,047,317,460.88/497,398.50
  6. Step 6: Final answer
    x = 374,040.77

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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.