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Finding the Fourth Proportional to 631,394.92, 871,314.06 and 344,907.64

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Solution

The fourth proportional to 631,394.92, 871,314.06 and 344,907.64 is: 475,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,394.92 : 871,314.06 = 344,907.64 : x
  2. Step 2: Convert to fraction form
    631,394.92/871,314.06 = 344,907.64/x
  3. Step 3: Cross multiply
    631,394.92x = 871,314.06 × 344,907.64
  4. Step 4: Simplify right side
    631,394.92x = 300,522,876,133.42
  5. Step 5: Solve for x
    x = 300,522,876,133.42/631,394.92
  6. Step 6: Final answer
    x = 475,966.57

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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.