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Finding the Fourth Proportional to 631,834.70, 871,932.31 and 345,354.77

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Solution

The fourth proportional to 631,834.70, 871,932.31 and 345,354.77 is: 476,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,834.70 : 871,932.31 = 345,354.77 : x
  2. Step 2: Convert to fraction form
    631,834.70/871,932.31 = 345,354.77/x
  3. Step 3: Cross multiply
    631,834.70x = 871,932.31 × 345,354.77
  4. Step 4: Simplify right side
    631,834.70x = 301,125,983,692.06
  5. Step 5: Solve for x
    x = 301,125,983,692.06/631,834.70
  6. Step 6: Final answer
    x = 476,589.82

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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.