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Finding the Fourth Proportional to 204,065,999.80, 306,098,999.70 and 188,122,769.80

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Solution

The fourth proportional to 204,065,999.80, 306,098,999.70 and 188,122,769.80 is: 282,184,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,065,999.80 : 306,098,999.70 = 188,122,769.80 : x
  2. Step 2: Convert to fraction form
    204,065,999.80/306,098,999.70 = 188,122,769.80/x
  3. Step 3: Cross multiply
    204,065,999.80x = 306,098,999.70 × 188,122,769.80
  4. Step 4: Simplify right side
    204,065,999.80x = 57,584,191,656,573,368
  5. Step 5: Solve for x
    x = 57,584,191,656,573,368/204,065,999.80
  6. Step 6: Final answer
    x = 282,184,154.70

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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.