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Finding the Fourth Proportional to 497,804.78, 686,969.33 and 271,450.28

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Solution

The fourth proportional to 497,804.78, 686,969.33 and 271,450.28 is: 374,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,804.78 : 686,969.33 = 271,450.28 : x
  2. Step 2: Convert to fraction form
    497,804.78/686,969.33 = 271,450.28/x
  3. Step 3: Cross multiply
    497,804.78x = 686,969.33 × 271,450.28
  4. Step 4: Simplify right side
    497,804.78x = 186,478,016,979.91
  5. Step 5: Solve for x
    x = 186,478,016,979.91/497,804.78
  6. Step 6: Final answer
    x = 374,600.70

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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.