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Finding the Fourth Proportional to 564,629.31, 779,189.04 and 306,506.12

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Solution

The fourth proportional to 564,629.31, 779,189.04 and 306,506.12 is: 422,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,629.31 : 779,189.04 = 306,506.12 : x
  2. Step 2: Convert to fraction form
    564,629.31/779,189.04 = 306,506.12/x
  3. Step 3: Cross multiply
    564,629.31x = 779,189.04 × 306,506.12
  4. Step 4: Simplify right side
    564,629.31x = 238,826,205,500.98
  5. Step 5: Solve for x
    x = 238,826,205,500.98/564,629.31
  6. Step 6: Final answer
    x = 422,978.76

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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.