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Finding the Fourth Proportional to 564,689.44, 779,272.76 and 310,057.03

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Solution

The fourth proportional to 564,689.44, 779,272.76 and 310,057.03 is: 427,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,689.44 : 779,272.76 = 310,057.03 : x
  2. Step 2: Convert to fraction form
    564,689.44/779,272.76 = 310,057.03/x
  3. Step 3: Cross multiply
    564,689.44x = 779,272.76 × 310,057.03
  4. Step 4: Simplify right side
    564,689.44x = 241,618,992,078.85
  5. Step 5: Solve for x
    x = 241,618,992,078.85/564,689.44
  6. Step 6: Final answer
    x = 427,879.43

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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.