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Finding the Fourth Proportional to 310,765.50, 428,869.20 and 174,805.80

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Solution

The fourth proportional to 310,765.50, 428,869.20 and 174,805.80 is: 241,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,765.50 : 428,869.20 = 174,805.80 : x
  2. Step 2: Convert to fraction form
    310,765.50/428,869.20 = 174,805.80/x
  3. Step 3: Cross multiply
    310,765.50x = 428,869.20 × 174,805.80
  4. Step 4: Simplify right side
    310,765.50x = 74,968,823,601.36
  5. Step 5: Solve for x
    x = 74,968,823,601.36/310,765.50
  6. Step 6: Final answer
    x = 241,239.21

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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.