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Finding the Fourth Proportional to 219,319.10, 328,978.65 and 188,215.10

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Solution

The fourth proportional to 219,319.10, 328,978.65 and 188,215.10 is: 282,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319.10 : 328,978.65 = 188,215.10 : x
  2. Step 2: Convert to fraction form
    219,319.10/328,978.65 = 188,215.10/x
  3. Step 3: Cross multiply
    219,319.10x = 328,978.65 × 188,215.10
  4. Step 4: Simplify right side
    219,319.10x = 61,918,749,507.62
  5. Step 5: Solve for x
    x = 61,918,749,507.62/219,319.10
  6. Step 6: Final answer
    x = 282,322.65

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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.