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Finding the Fourth Proportional to 631,566, 871,567.19 and 345,086.07

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Solution

The fourth proportional to 631,566, 871,567.19 and 345,086.07 is: 476,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,566 : 871,567.19 = 345,086.07 : x
  2. Step 2: Convert to fraction form
    631,566/871,567.19 = 345,086.07/x
  3. Step 3: Cross multiply
    631,566x = 871,567.19 × 345,086.07
  4. Step 4: Simplify right side
    631,566x = 300,765,696,338.04
  5. Step 5: Solve for x
    x = 300,765,696,338.04/631,566
  6. Step 6: Final answer
    x = 476,222.12

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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.