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Finding the Fourth Proportional to 564,716.38, 779,319.75 and 310,065.34

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Solution

The fourth proportional to 564,716.38, 779,319.75 and 310,065.34 is: 427,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,716.38 : 779,319.75 = 310,065.34 : x
  2. Step 2: Convert to fraction form
    564,716.38/779,319.75 = 310,065.34/x
  3. Step 3: Cross multiply
    564,716.38x = 779,319.75 × 310,065.34
  4. Step 4: Simplify right side
    564,716.38x = 241,640,043,252.47
  5. Step 5: Solve for x
    x = 241,640,043,252.47/564,716.38
  6. Step 6: Final answer
    x = 427,896.29

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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.