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Finding the Fourth Proportional to 357,413.72, 493,320.17 and 221,366.12

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Solution

The fourth proportional to 357,413.72, 493,320.17 and 221,366.12 is: 305,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,413.72 : 493,320.17 = 221,366.12 : x
  2. Step 2: Convert to fraction form
    357,413.72/493,320.17 = 221,366.12/x
  3. Step 3: Cross multiply
    357,413.72x = 493,320.17 × 221,366.12
  4. Step 4: Simplify right side
    357,413.72x = 109,204,370,037.46
  5. Step 5: Solve for x
    x = 109,204,370,037.46/357,413.72
  6. Step 6: Final answer
    x = 305,540.51

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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.