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Finding the Fourth Proportional to 219,041.48, 328,708.02 and 119,226.80

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Solution

The fourth proportional to 219,041.48, 328,708.02 and 119,226.80 is: 178,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,041.48 : 328,708.02 = 119,226.80 : x
  2. Step 2: Convert to fraction form
    219,041.48/328,708.02 = 119,226.80/x
  3. Step 3: Cross multiply
    219,041.48x = 328,708.02 × 119,226.80
  4. Step 4: Simplify right side
    219,041.48x = 39,190,805,358.94
  5. Step 5: Solve for x
    x = 39,190,805,358.94/219,041.48
  6. Step 6: Final answer
    x = 178,919.56

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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.