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Finding the Fourth Proportional to 219,318.10, 328,977.15 and 188,214.10

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Solution

The fourth proportional to 219,318.10, 328,977.15 and 188,214.10 is: 282,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,318.10 : 328,977.15 = 188,214.10 : x
  2. Step 2: Convert to fraction form
    219,318.10/328,977.15 = 188,214.10/x
  3. Step 3: Cross multiply
    219,318.10x = 328,977.15 × 188,214.10
  4. Step 4: Simplify right side
    219,318.10x = 61,918,138,207.82
  5. Step 5: Solve for x
    x = 61,918,138,207.82/219,318.10
  6. Step 6: Final answer
    x = 282,321.15

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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.