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Finding the Fourth Proportional to 206,917.30, 310,375.95 and 154,429.30

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Solution

The fourth proportional to 206,917.30, 310,375.95 and 154,429.30 is: 231,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,917.30 : 310,375.95 = 154,429.30 : x
  2. Step 2: Convert to fraction form
    206,917.30/310,375.95 = 154,429.30/x
  3. Step 3: Cross multiply
    206,917.30x = 310,375.95 × 154,429.30
  4. Step 4: Simplify right side
    206,917.30x = 47,931,140,695.34
  5. Step 5: Solve for x
    x = 47,931,140,695.34/206,917.30
  6. Step 6: Final answer
    x = 231,643.95

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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.