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Finding the Fourth Proportional to 564,814, 779,443.32 and 310,169.44

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Solution

The fourth proportional to 564,814, 779,443.32 and 310,169.44 is: 428,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,814 : 779,443.32 = 310,169.44 : x
  2. Step 2: Convert to fraction form
    564,814/779,443.32 = 310,169.44/x
  3. Step 3: Cross multiply
    564,814x = 779,443.32 × 310,169.44
  4. Step 4: Simplify right side
    564,814x = 241,759,498,076.14
  5. Step 5: Solve for x
    x = 241,759,498,076.14/564,814
  6. Step 6: Final answer
    x = 428,033.83

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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.