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Finding the Fourth Proportional to 631,877.12, 871,992.16 and 345,400.64

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Solution

The fourth proportional to 631,877.12, 871,992.16 and 345,400.64 is: 476,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,877.12 : 871,992.16 = 345,400.64 : x
  2. Step 2: Convert to fraction form
    631,877.12/871,992.16 = 345,400.64/x
  3. Step 3: Cross multiply
    631,877.12x = 871,992.16 × 345,400.64
  4. Step 4: Simplify right side
    631,877.12x = 301,186,650,138.98
  5. Step 5: Solve for x
    x = 301,186,650,138.98/631,877.12
  6. Step 6: Final answer
    x = 476,653.83

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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.