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Finding the Fourth Proportional to 497,637.30, 686,738.88 and 271,282.80

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Solution

The fourth proportional to 497,637.30, 686,738.88 and 271,282.80 is: 374,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,637.30 : 686,738.88 = 271,282.80 : x
  2. Step 2: Convert to fraction form
    497,637.30/686,738.88 = 271,282.80/x
  3. Step 3: Cross multiply
    497,637.30x = 686,738.88 × 271,282.80
  4. Step 4: Simplify right side
    497,637.30x = 186,300,446,235.26
  5. Step 5: Solve for x
    x = 186,300,446,235.26/497,637.30
  6. Step 6: Final answer
    x = 374,369.94

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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.