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Finding the Fourth Proportional to 409,413.28, 613,856.16 and 172,692.64

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Solution

The fourth proportional to 409,413.28, 613,856.16 and 172,692.64 is: 258,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,413.28 : 613,856.16 = 172,692.64 : x
  2. Step 2: Convert to fraction form
    409,413.28/613,856.16 = 172,692.64/x
  3. Step 3: Cross multiply
    409,413.28x = 613,856.16 × 172,692.64
  4. Step 4: Simplify right side
    409,413.28x = 106,008,440,850.66
  5. Step 5: Solve for x
    x = 106,008,440,850.66/409,413.28
  6. Step 6: Final answer
    x = 258,927.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.