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Finding the Fourth Proportional to 219,420, 329,131.08 and 53,208

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Solution

The fourth proportional to 219,420, 329,131.08 and 53,208 is: 79,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420 : 329,131.08 = 53,208 : x
  2. Step 2: Convert to fraction form
    219,420/329,131.08 = 53,208/x
  3. Step 3: Cross multiply
    219,420x = 329,131.08 × 53,208
  4. Step 4: Simplify right side
    219,420x = 17,512,406,504.64
  5. Step 5: Solve for x
    x = 17,512,406,504.64/219,420
  6. Step 6: Final answer
    x = 79,812.26

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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.