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Finding the Fourth Proportional to 219,384.47, 329,076.71 and 53,172.47

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Solution

The fourth proportional to 219,384.47, 329,076.71 and 53,172.47 is: 79,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,384.47 : 329,076.71 = 53,172.47 : x
  2. Step 2: Convert to fraction form
    219,384.47/329,076.71 = 53,172.47/x
  3. Step 3: Cross multiply
    219,384.47x = 329,076.71 × 53,172.47
  4. Step 4: Simplify right side
    219,384.47x = 17,497,822,445.80
  5. Step 5: Solve for x
    x = 17,497,822,445.80/219,384.47
  6. Step 6: Final answer
    x = 79,758.71

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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.