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Finding the Fourth Proportional to 310,515.09, 465,654.34 and 203,870.49

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Solution

The fourth proportional to 310,515.09, 465,654.34 and 203,870.49 is: 305,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,515.09 : 465,654.34 = 203,870.49 : x
  2. Step 2: Convert to fraction form
    310,515.09/465,654.34 = 203,870.49/x
  3. Step 3: Cross multiply
    310,515.09x = 465,654.34 × 203,870.49
  4. Step 4: Simplify right side
    310,515.09x = 94,933,178,466.43
  5. Step 5: Solve for x
    x = 94,933,178,466.43/310,515.09
  6. Step 6: Final answer
    x = 305,728.07

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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.