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Finding the Fourth Proportional to 219,322.60, 328,983.90 and 188,218.60

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Solution

The fourth proportional to 219,322.60, 328,983.90 and 188,218.60 is: 282,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,322.60 : 328,983.90 = 188,218.60 : x
  2. Step 2: Convert to fraction form
    219,322.60/328,983.90 = 188,218.60/x
  3. Step 3: Cross multiply
    219,322.60x = 328,983.90 × 188,218.60
  4. Step 4: Simplify right side
    219,322.60x = 61,920,889,080.54
  5. Step 5: Solve for x
    x = 61,920,889,080.54/219,322.60
  6. Step 6: Final answer
    x = 282,327.90

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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.