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Finding the Fourth Proportional to 631,878.12, 871,993.54 and 345,401.64

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Solution

The fourth proportional to 631,878.12, 871,993.54 and 345,401.64 is: 476,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,878.12 : 871,993.54 = 345,401.64 : x
  2. Step 2: Convert to fraction form
    631,878.12/871,993.54 = 345,401.64/x
  3. Step 3: Cross multiply
    631,878.12x = 871,993.54 × 345,401.64
  4. Step 4: Simplify right side
    631,878.12x = 301,187,998,785.41
  5. Step 5: Solve for x
    x = 301,187,998,785.41/631,878.12
  6. Step 6: Final answer
    x = 476,655.21

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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.