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Finding the Fourth Proportional to 564,850.76, 779,494.05 and 310,201.97

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Solution

The fourth proportional to 564,850.76, 779,494.05 and 310,201.97 is: 428,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,850.76 : 779,494.05 = 310,201.97 : x
  2. Step 2: Convert to fraction form
    564,850.76/779,494.05 = 310,201.97/x
  3. Step 3: Cross multiply
    564,850.76x = 779,494.05 × 310,201.97
  4. Step 4: Simplify right side
    564,850.76x = 241,800,586,015.81
  5. Step 5: Solve for x
    x = 241,800,586,015.81/564,850.76
  6. Step 6: Final answer
    x = 428,078.72

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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.