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Finding the Fourth Proportional to 564,540.88, 779,041.92 and 309,896.32

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Solution

The fourth proportional to 564,540.88, 779,041.92 and 309,896.32 is: 427,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,540.88 : 779,041.92 = 309,896.32 : x
  2. Step 2: Convert to fraction form
    564,540.88/779,041.92 = 309,896.32/x
  3. Step 3: Cross multiply
    564,540.88x = 779,041.92 × 309,896.32
  4. Step 4: Simplify right side
    564,540.88x = 241,422,224,133.73
  5. Step 5: Solve for x
    x = 241,422,224,133.73/564,540.88
  6. Step 6: Final answer
    x = 427,643.48

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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.