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Finding the Fourth Proportional to 219,206.40, 328,226.40 and 139,891.20

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Solution

The fourth proportional to 219,206.40, 328,226.40 and 139,891.20 is: 209,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,206.40 : 328,226.40 = 139,891.20 : x
  2. Step 2: Convert to fraction form
    219,206.40/328,226.40 = 139,891.20/x
  3. Step 3: Cross multiply
    219,206.40x = 328,226.40 × 139,891.20
  4. Step 4: Simplify right side
    219,206.40x = 45,915,984,967.68
  5. Step 5: Solve for x
    x = 45,915,984,967.68/219,206.40
  6. Step 6: Final answer
    x = 209,464.62

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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.