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Finding the Fourth Proportional to 497,991.40, 687,228.78 and 271,640.68

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Solution

The fourth proportional to 497,991.40, 687,228.78 and 271,640.68 is: 374,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,991.40 : 687,228.78 = 271,640.68 : x
  2. Step 2: Convert to fraction form
    497,991.40/687,228.78 = 271,640.68/x
  3. Step 3: Cross multiply
    497,991.40x = 687,228.78 × 271,640.68
  4. Step 4: Simplify right side
    497,991.40x = 186,679,293,114.77
  5. Step 5: Solve for x
    x = 186,679,293,114.77/497,991.40
  6. Step 6: Final answer
    x = 374,864.49

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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.