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Finding the Fourth Proportional to 219,722, 329,466.36 and 101,332.40

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Solution

The fourth proportional to 219,722, 329,466.36 and 101,332.40 is: 151,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,722 : 329,466.36 = 101,332.40 : x
  2. Step 2: Convert to fraction form
    219,722/329,466.36 = 101,332.40/x
  3. Step 3: Cross multiply
    219,722x = 329,466.36 × 101,332.40
  4. Step 4: Simplify right side
    219,722x = 33,385,616,978.06
  5. Step 5: Solve for x
    x = 33,385,616,978.06/219,722
  6. Step 6: Final answer
    x = 151,944.81

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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.