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Finding the Fourth Proportional to 219,366.10, 328,830.45 and 100,830.70

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Solution

The fourth proportional to 219,366.10, 328,830.45 and 100,830.70 is: 151,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,366.10 : 328,830.45 = 100,830.70 : x
  2. Step 2: Convert to fraction form
    219,366.10/328,830.45 = 100,830.70/x
  3. Step 3: Cross multiply
    219,366.10x = 328,830.45 × 100,830.70
  4. Step 4: Simplify right side
    219,366.10x = 33,156,204,454.82
  5. Step 5: Solve for x
    x = 33,156,204,454.82/219,366.10
  6. Step 6: Final answer
    x = 151,145.53

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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.