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Finding the Fourth Proportional to 564,862.44, 779,745.78 and 403,782.60

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Solution

The fourth proportional to 564,862.44, 779,745.78 and 403,782.60 is: 557,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,862.44 : 779,745.78 = 403,782.60 : x
  2. Step 2: Convert to fraction form
    564,862.44/779,745.78 = 403,782.60/x
  3. Step 3: Cross multiply
    564,862.44x = 779,745.78 × 403,782.60
  4. Step 4: Simplify right side
    564,862.44x = 314,847,778,387.43
  5. Step 5: Solve for x
    x = 314,847,778,387.43/564,862.44
  6. Step 6: Final answer
    x = 557,388.41

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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.