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Finding the Fourth Proportional to 428,396.80, 642,413.04 and 175,502.56

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Solution

The fourth proportional to 428,396.80, 642,413.04 and 175,502.56 is: 263,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,396.80 : 642,413.04 = 175,502.56 : x
  2. Step 2: Convert to fraction form
    428,396.80/642,413.04 = 175,502.56/x
  3. Step 3: Cross multiply
    428,396.80x = 642,413.04 × 175,502.56
  4. Step 4: Simplify right side
    428,396.80x = 112,745,133,097.38
  5. Step 5: Solve for x
    x = 112,745,133,097.38/428,396.80
  6. Step 6: Final answer
    x = 263,179.21

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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.