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Finding the Fourth Proportional to 314,908.70, 434,729.13 and 218,185.88

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Solution

The fourth proportional to 314,908.70, 434,729.13 and 218,185.88 is: 301,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,908.70 : 434,729.13 = 218,185.88 : x
  2. Step 2: Convert to fraction form
    314,908.70/434,729.13 = 218,185.88/x
  3. Step 3: Cross multiply
    314,908.70x = 434,729.13 × 218,185.88
  4. Step 4: Simplify right side
    314,908.70x = 94,851,755,617.04
  5. Step 5: Solve for x
    x = 94,851,755,617.04/314,908.70
  6. Step 6: Final answer
    x = 301,203.99

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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.