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Finding the Fourth Proportional to 631,549.44, 947,310.80 and 205,084.80

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Solution

The fourth proportional to 631,549.44, 947,310.80 and 205,084.80 is: 307,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,549.44 : 947,310.80 = 205,084.80 : x
  2. Step 2: Convert to fraction form
    631,549.44/947,310.80 = 205,084.80/x
  3. Step 3: Cross multiply
    631,549.44x = 947,310.80 × 205,084.80
  4. Step 4: Simplify right side
    631,549.44x = 194,279,045,955.84
  5. Step 5: Solve for x
    x = 194,279,045,955.84/631,549.44
  6. Step 6: Final answer
    x = 307,622.86

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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.