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Finding the Fourth Proportional to 219,315.30, 328,717.80 and 100,998.60

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Solution

The fourth proportional to 219,315.30, 328,717.80 and 100,998.60 is: 151,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,315.30 : 328,717.80 = 100,998.60 : x
  2. Step 2: Convert to fraction form
    219,315.30/328,717.80 = 100,998.60/x
  3. Step 3: Cross multiply
    219,315.30x = 328,717.80 × 100,998.60
  4. Step 4: Simplify right side
    219,315.30x = 33,200,037,595.08
  5. Step 5: Solve for x
    x = 33,200,037,595.08/219,315.30
  6. Step 6: Final answer
    x = 151,380.40

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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.