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Finding the Fourth Proportional to 413,928, 571,221.36 and 235,080

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Solution

The fourth proportional to 413,928, 571,221.36 and 235,080 is: 324,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,928 : 571,221.36 = 235,080 : x
  2. Step 2: Convert to fraction form
    413,928/571,221.36 = 235,080/x
  3. Step 3: Cross multiply
    413,928x = 571,221.36 × 235,080
  4. Step 4: Simplify right side
    413,928x = 134,282,717,308.80
  5. Step 5: Solve for x
    x = 134,282,717,308.80/413,928
  6. Step 6: Final answer
    x = 324,410.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.