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Finding the Fourth Proportional to 631,524.86, 871,494.12 and 345,038.79

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Solution

The fourth proportional to 631,524.86, 871,494.12 and 345,038.79 is: 476,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,524.86 : 871,494.12 = 345,038.79 : x
  2. Step 2: Convert to fraction form
    631,524.86/871,494.12 = 345,038.79/x
  3. Step 3: Cross multiply
    631,524.86x = 871,494.12 × 345,038.79
  4. Step 4: Simplify right side
    631,524.86x = 300,699,276,656.92
  5. Step 5: Solve for x
    x = 300,699,276,656.92/631,524.86
  6. Step 6: Final answer
    x = 476,147.97

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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.