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Finding the Fourth Proportional to 631,817.36, 871,905.84 and 345,337.28

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Solution

The fourth proportional to 631,817.36, 871,905.84 and 345,337.28 is: 476,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,817.36 : 871,905.84 = 345,337.28 : x
  2. Step 2: Convert to fraction form
    631,817.36/871,905.84 = 345,337.28/x
  3. Step 3: Cross multiply
    631,817.36x = 871,905.84 × 345,337.28
  4. Step 4: Simplify right side
    631,817.36x = 301,101,591,201.72
  5. Step 5: Solve for x
    x = 301,101,591,201.72/631,817.36
  6. Step 6: Final answer
    x = 476,564.29

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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.