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Finding the Fourth Proportional to 310,861,678.78, 428,995,087.84 and 169,738,494.61

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Solution

The fourth proportional to 310,861,678.78, 428,995,087.84 and 169,738,494.61 is: 234,242,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,861,678.78 : 428,995,087.84 = 169,738,494.61 : x
  2. Step 2: Convert to fraction form
    310,861,678.78/428,995,087.84 = 169,738,494.61/x
  3. Step 3: Cross multiply
    310,861,678.78x = 428,995,087.84 × 169,738,494.61
  4. Step 4: Simplify right side
    310,861,678.78x = 72,816,980,405,046,320
  5. Step 5: Solve for x
    x = 72,816,980,405,046,320/310,861,678.78
  6. Step 6: Final answer
    x = 234,242,382.95

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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.