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Finding the Fourth Proportional to 319,903.20, 479,725.20 and 109,432.80

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Solution

The fourth proportional to 319,903.20, 479,725.20 and 109,432.80 is: 164,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,903.20 : 479,725.20 = 109,432.80 : x
  2. Step 2: Convert to fraction form
    319,903.20/479,725.20 = 109,432.80/x
  3. Step 3: Cross multiply
    319,903.20x = 479,725.20 × 109,432.80
  4. Step 4: Simplify right side
    319,903.20x = 52,497,671,866.56
  5. Step 5: Solve for x
    x = 52,497,671,866.56/319,903.20
  6. Step 6: Final answer
    x = 164,104.87

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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.