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Finding the Fourth Proportional to 497,101.82, 686,078.41 and 293,175.15

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Solution

The fourth proportional to 497,101.82, 686,078.41 and 293,175.15 is: 404,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,101.82 : 686,078.41 = 293,175.15 : x
  2. Step 2: Convert to fraction form
    497,101.82/686,078.41 = 293,175.15/x
  3. Step 3: Cross multiply
    497,101.82x = 686,078.41 × 293,175.15
  4. Step 4: Simplify right side
    497,101.82x = 201,141,140,030.57
  5. Step 5: Solve for x
    x = 201,141,140,030.57/497,101.82
  6. Step 6: Final answer
    x = 404,627.65

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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.