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Finding the Fourth Proportional to 497,398.96, 686,410.68 and 271,044.46

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Solution

The fourth proportional to 497,398.96, 686,410.68 and 271,044.46 is: 374,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,398.96 : 686,410.68 = 271,044.46 : x
  2. Step 2: Convert to fraction form
    497,398.96/686,410.68 = 271,044.46/x
  3. Step 3: Cross multiply
    497,398.96x = 686,410.68 × 271,044.46
  4. Step 4: Simplify right side
    497,398.96x = 186,047,812,098.83
  5. Step 5: Solve for x
    x = 186,047,812,098.83/497,398.96
  6. Step 6: Final answer
    x = 374,041.42

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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.