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Finding the Fourth Proportional to 255,651.38, 352,800 and 140,927.55

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Solution

The fourth proportional to 255,651.38, 352,800 and 140,927.55 is: 194,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,651.38 : 352,800 = 140,927.55 : x
  2. Step 2: Convert to fraction form
    255,651.38/352,800 = 140,927.55/x
  3. Step 3: Cross multiply
    255,651.38x = 352,800 × 140,927.55
  4. Step 4: Simplify right side
    255,651.38x = 49,719,237,876.00
  5. Step 5: Solve for x
    x = 49,719,237,876.00/255,651.38
  6. Step 6: Final answer
    x = 194,480.62

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1.5x scale

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.