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Finding the Fourth Proportional to 219,007.20, 328,414.80 and 100,639.20

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Solution

The fourth proportional to 219,007.20, 328,414.80 and 100,639.20 is: 150,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,007.20 : 328,414.80 = 100,639.20 : x
  2. Step 2: Convert to fraction form
    219,007.20/328,414.80 = 100,639.20/x
  3. Step 3: Cross multiply
    219,007.20x = 328,414.80 × 100,639.20
  4. Step 4: Simplify right side
    219,007.20x = 33,051,402,740.16
  5. Step 5: Solve for x
    x = 33,051,402,740.16/219,007.20
  6. Step 6: Final answer
    x = 150,914.69

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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.