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Finding the Fourth Proportional to 219,386.47, 329,079.71 and 53,174.47

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Solution

The fourth proportional to 219,386.47, 329,079.71 and 53,174.47 is: 79,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,386.47 : 329,079.71 = 53,174.47 : x
  2. Step 2: Convert to fraction form
    219,386.47/329,079.71 = 53,174.47/x
  3. Step 3: Cross multiply
    219,386.47x = 329,079.71 × 53,174.47
  4. Step 4: Simplify right side
    219,386.47x = 17,498,639,167.00
  5. Step 5: Solve for x
    x = 17,498,639,167.00/219,386.47
  6. Step 6: Final answer
    x = 79,761.71

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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.