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Finding the Fourth Proportional to 345,768.42, 476,892.11 and 307,046.97

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Solution

The fourth proportional to 345,768.42, 476,892.11 and 307,046.97 is: 423,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,768.42 : 476,892.11 = 307,046.97 : x
  2. Step 2: Convert to fraction form
    345,768.42/476,892.11 = 307,046.97/x
  3. Step 3: Cross multiply
    345,768.42x = 476,892.11 × 307,046.97
  4. Step 4: Simplify right side
    345,768.42x = 146,428,278,160.02
  5. Step 5: Solve for x
    x = 146,428,278,160.02/345,768.42
  6. Step 6: Final answer
    x = 423,486.56

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1.5x scale

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.