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Finding the Fourth Proportional to 457,014.30, 685,069.47 and 216,705.48

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Solution

The fourth proportional to 457,014.30, 685,069.47 and 216,705.48 is: 324,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,014.30 : 685,069.47 = 216,705.48 : x
  2. Step 2: Convert to fraction form
    457,014.30/685,069.47 = 216,705.48/x
  3. Step 3: Cross multiply
    457,014.30x = 685,069.47 × 216,705.48
  4. Step 4: Simplify right side
    457,014.30x = 148,458,308,329.70
  5. Step 5: Solve for x
    x = 148,458,308,329.70/457,014.30
  6. Step 6: Final answer
    x = 324,843.90

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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.