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Finding the Fourth Proportional to 219,322.80, 328,729.05 and 101,006.10

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Solution

The fourth proportional to 219,322.80, 328,729.05 and 101,006.10 is: 151,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,322.80 : 328,729.05 = 101,006.10 : x
  2. Step 2: Convert to fraction form
    219,322.80/328,729.05 = 101,006.10/x
  3. Step 3: Cross multiply
    219,322.80x = 328,729.05 × 101,006.10
  4. Step 4: Simplify right side
    219,322.80x = 33,203,639,297.21
  5. Step 5: Solve for x
    x = 33,203,639,297.21/219,322.80
  6. Step 6: Final answer
    x = 151,391.64

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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.