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Finding the Fourth Proportional to 206,980.40, 310,470.60 and 151,211.90

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Solution

The fourth proportional to 206,980.40, 310,470.60 and 151,211.90 is: 226,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,980.40 : 310,470.60 = 151,211.90 : x
  2. Step 2: Convert to fraction form
    206,980.40/310,470.60 = 151,211.90/x
  3. Step 3: Cross multiply
    206,980.40x = 310,470.60 × 151,211.90
  4. Step 4: Simplify right side
    206,980.40x = 46,946,849,320.14
  5. Step 5: Solve for x
    x = 46,946,849,320.14/206,980.40
  6. Step 6: Final answer
    x = 226,817.85

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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.