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Finding the Fourth Proportional to 219,344.40, 307,782 and 219,344.40

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Solution

The fourth proportional to 219,344.40, 307,782 and 219,344.40 is: 307,782

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344.40 : 307,782 = 219,344.40 : x
  2. Step 2: Convert to fraction form
    219,344.40/307,782 = 219,344.40/x
  3. Step 3: Cross multiply
    219,344.40x = 307,782 × 219,344.40
  4. Step 4: Simplify right side
    219,344.40x = 67,510,258,120.80
  5. Step 5: Solve for x
    x = 67,510,258,120.80/219,344.40
  6. Step 6: Final answer
    x = 307,782

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.