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Finding the Fourth Proportional to 497,491.81, 686,557.72 and 271,137.31

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Solution

The fourth proportional to 497,491.81, 686,557.72 and 271,137.31 is: 374,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,491.81 : 686,557.72 = 271,137.31 : x
  2. Step 2: Convert to fraction form
    497,491.81/686,557.72 = 271,137.31/x
  3. Step 3: Cross multiply
    497,491.81x = 686,557.72 × 271,137.31
  4. Step 4: Simplify right side
    497,491.81x = 186,151,411,983.06
  5. Step 5: Solve for x
    x = 186,151,411,983.06/497,491.81
  6. Step 6: Final answer
    x = 374,179.85

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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.