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Finding the Fourth Proportional to 219,257.46, 328,886.17 and 82,506.28

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Solution

The fourth proportional to 219,257.46, 328,886.17 and 82,506.28 is: 123,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,257.46 : 328,886.17 = 82,506.28 : x
  2. Step 2: Convert to fraction form
    219,257.46/328,886.17 = 82,506.28/x
  3. Step 3: Cross multiply
    219,257.46x = 328,886.17 × 82,506.28
  4. Step 4: Simplify right side
    219,257.46x = 27,135,172,373.19
  5. Step 5: Solve for x
    x = 27,135,172,373.19/219,257.46
  6. Step 6: Final answer
    x = 123,759.40

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1.5x scale

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.