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Finding the Fourth Proportional to 219,670.13, 329,505.20 and 53,458.13

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Solution

The fourth proportional to 219,670.13, 329,505.20 and 53,458.13 is: 80,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,670.13 : 329,505.20 = 53,458.13 : x
  2. Step 2: Convert to fraction form
    219,670.13/329,505.20 = 53,458.13/x
  3. Step 3: Cross multiply
    219,670.13x = 329,505.20 × 53,458.13
  4. Step 4: Simplify right side
    219,670.13x = 17,614,729,902.46
  5. Step 5: Solve for x
    x = 17,614,729,902.46/219,670.13
  6. Step 6: Final answer
    x = 80,187.19

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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.