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Finding the Fourth Proportional to 726,175, 1,002,157.02 and 403,878.22

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Solution

The fourth proportional to 726,175, 1,002,157.02 and 403,878.22 is: 557,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,175 : 1,002,157.02 = 403,878.22 : x
  2. Step 2: Convert to fraction form
    726,175/1,002,157.02 = 403,878.22/x
  3. Step 3: Cross multiply
    726,175x = 1,002,157.02 × 403,878.22
  4. Step 4: Simplify right side
    726,175x = 404,749,393,398.10
  5. Step 5: Solve for x
    x = 404,749,393,398.10/726,175
  6. Step 6: Final answer
    x = 557,371.70

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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.