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Finding the Fourth Proportional to 564,002, 778,391.88 and 325,538

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Solution

The fourth proportional to 564,002, 778,391.88 and 325,538 is: 449,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,002 : 778,391.88 = 325,538 : x
  2. Step 2: Convert to fraction form
    564,002/778,391.88 = 325,538/x
  3. Step 3: Cross multiply
    564,002x = 778,391.88 × 325,538
  4. Step 4: Simplify right side
    564,002x = 253,396,135,831.44
  5. Step 5: Solve for x
    x = 253,396,135,831.44/564,002
  6. Step 6: Final answer
    x = 449,282.34

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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.