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Finding the Fourth Proportional to 631,561, 871,942.98 and 405,604.84

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Solution

The fourth proportional to 631,561, 871,942.98 and 405,604.84 is: 559,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,561 : 871,942.98 = 405,604.84 : x
  2. Step 2: Convert to fraction form
    631,561/871,942.98 = 405,604.84/x
  3. Step 3: Cross multiply
    631,561x = 871,942.98 × 405,604.84
  4. Step 4: Simplify right side
    631,561x = 353,664,292,892.02
  5. Step 5: Solve for x
    x = 353,664,292,892.02/631,561
  6. Step 6: Final answer
    x = 559,984.38

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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.