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Finding the Fourth Proportional to 308,661.78, 465,306.14 and 288,086.90

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Solution

The fourth proportional to 308,661.78, 465,306.14 and 288,086.90 is: 434,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,661.78 : 465,306.14 = 288,086.90 : x
  2. Step 2: Convert to fraction form
    308,661.78/465,306.14 = 288,086.90/x
  3. Step 3: Cross multiply
    308,661.78x = 465,306.14 × 288,086.90
  4. Step 4: Simplify right side
    308,661.78x = 134,048,601,817.25
  5. Step 5: Solve for x
    x = 134,048,601,817.25/308,661.78
  6. Step 6: Final answer
    x = 434,289.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.