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Finding the Fourth Proportional to 219,445.28, 328,919.40 and 100,871.84

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Solution

The fourth proportional to 219,445.28, 328,919.40 and 100,871.84 is: 151,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,445.28 : 328,919.40 = 100,871.84 : x
  2. Step 2: Convert to fraction form
    219,445.28/328,919.40 = 100,871.84/x
  3. Step 3: Cross multiply
    219,445.28x = 328,919.40 × 100,871.84
  4. Step 4: Simplify right side
    219,445.28x = 33,178,705,089.70
  5. Step 5: Solve for x
    x = 33,178,705,089.70/219,445.28
  6. Step 6: Final answer
    x = 151,193.52

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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.