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Finding the Fourth Proportional to 219,034.02, 328,591.59 and 69,312

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Solution

The fourth proportional to 219,034.02, 328,591.59 and 69,312 is: 103,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,034.02 : 328,591.59 = 69,312 : x
  2. Step 2: Convert to fraction form
    219,034.02/328,591.59 = 69,312/x
  3. Step 3: Cross multiply
    219,034.02x = 328,591.59 × 69,312
  4. Step 4: Simplify right side
    219,034.02x = 22,775,340,286.08
  5. Step 5: Solve for x
    x = 22,775,340,286.08/219,034.02
  6. Step 6: Final answer
    x = 103,980.83

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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.