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Finding the Fourth Proportional to 319,871.77, 479,808.20 and 109,511.53

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Solution

The fourth proportional to 319,871.77, 479,808.20 and 109,511.53 is: 164,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,871.77 : 479,808.20 = 109,511.53 : x
  2. Step 2: Convert to fraction form
    319,871.77/479,808.20 = 109,511.53/x
  3. Step 3: Cross multiply
    319,871.77x = 479,808.20 × 109,511.53
  4. Step 4: Simplify right side
    319,871.77x = 52,544,529,540.99
  5. Step 5: Solve for x
    x = 52,544,529,540.99/319,871.77
  6. Step 6: Final answer
    x = 164,267.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.