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Finding the Fourth Proportional to 219,386.50, 329,079.75 and 53,174.50

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Solution

The fourth proportional to 219,386.50, 329,079.75 and 53,174.50 is: 79,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,386.50 : 329,079.75 = 53,174.50 : x
  2. Step 2: Convert to fraction form
    219,386.50/329,079.75 = 53,174.50/x
  3. Step 3: Cross multiply
    219,386.50x = 329,079.75 × 53,174.50
  4. Step 4: Simplify right side
    219,386.50x = 17,498,651,166.38
  5. Step 5: Solve for x
    x = 17,498,651,166.38/219,386.50
  6. Step 6: Final answer
    x = 79,761.75

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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.