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Finding the Fourth Proportional to 564,856.89, 779,511.87 and 306,734.37

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Solution

The fourth proportional to 564,856.89, 779,511.87 and 306,734.37 is: 423,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,856.89 : 779,511.87 = 306,734.37 : x
  2. Step 2: Convert to fraction form
    564,856.89/779,511.87 = 306,734.37/x
  3. Step 3: Cross multiply
    564,856.89x = 779,511.87 × 306,734.37
  4. Step 4: Simplify right side
    564,856.89x = 239,103,082,351.97
  5. Step 5: Solve for x
    x = 239,103,082,351.97/564,856.89
  6. Step 6: Final answer
    x = 423,298.51

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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.