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Finding the Fourth Proportional to 380,413.75, 524,967.21 and 205,983.12

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Solution

The fourth proportional to 380,413.75, 524,967.21 and 205,983.12 is: 284,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,413.75 : 524,967.21 = 205,983.12 : x
  2. Step 2: Convert to fraction form
    380,413.75/524,967.21 = 205,983.12/x
  3. Step 3: Cross multiply
    380,413.75x = 524,967.21 × 205,983.12
  4. Step 4: Simplify right side
    380,413.75x = 108,134,383,813.50
  5. Step 5: Solve for x
    x = 108,134,383,813.50/380,413.75
  6. Step 6: Final answer
    x = 284,254.67

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1.5x scale

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.