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Finding the Fourth Proportional to 310,591.73, 428,602.79 and 189,935.21

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Solution

The fourth proportional to 310,591.73, 428,602.79 and 189,935.21 is: 262,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,591.73 : 428,602.79 = 189,935.21 : x
  2. Step 2: Convert to fraction form
    310,591.73/428,602.79 = 189,935.21/x
  3. Step 3: Cross multiply
    310,591.73x = 428,602.79 × 189,935.21
  4. Step 4: Simplify right side
    310,591.73x = 81,406,759,975.56
  5. Step 5: Solve for x
    x = 81,406,759,975.56/310,591.73
  6. Step 6: Final answer
    x = 262,102.15

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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.