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Finding the Fourth Proportional to 457,429.95, 631,476.41 and 304,558.65

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Solution

The fourth proportional to 457,429.95, 631,476.41 and 304,558.65 is: 420,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,429.95 : 631,476.41 = 304,558.65 : x
  2. Step 2: Convert to fraction form
    457,429.95/631,476.41 = 304,558.65/x
  3. Step 3: Cross multiply
    457,429.95x = 631,476.41 × 304,558.65
  4. Step 4: Simplify right side
    457,429.95x = 192,321,601,413.65
  5. Step 5: Solve for x
    x = 192,321,601,413.65/457,429.95
  6. Step 6: Final answer
    x = 420,439.46

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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.