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Finding the Fourth Proportional to 631,543.13, 871,519.35 and 345,057.06

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Solution

The fourth proportional to 631,543.13, 871,519.35 and 345,057.06 is: 476,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,543.13 : 871,519.35 = 345,057.06 : x
  2. Step 2: Convert to fraction form
    631,543.13/871,519.35 = 345,057.06/x
  3. Step 3: Cross multiply
    631,543.13x = 871,519.35 × 345,057.06
  4. Step 4: Simplify right side
    631,543.13x = 300,723,907,265.33
  5. Step 5: Solve for x
    x = 300,723,907,265.33/631,543.13
  6. Step 6: Final answer
    x = 476,173.19

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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.