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Finding the Fourth Proportional to 497,821.68, 686,996.64 and 271,462.32

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Solution

The fourth proportional to 497,821.68, 686,996.64 and 271,462.32 is: 374,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,821.68 : 686,996.64 = 271,462.32 : x
  2. Step 2: Convert to fraction form
    497,821.68/686,996.64 = 271,462.32/x
  3. Step 3: Cross multiply
    497,821.68x = 686,996.64 × 271,462.32
  4. Step 4: Simplify right side
    497,821.68x = 186,493,701,726.61
  5. Step 5: Solve for x
    x = 186,493,701,726.61/497,821.68
  6. Step 6: Final answer
    x = 374,619.49

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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.