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Finding the Fourth Proportional to 419,840.73, 579,358.29 and 238,527.48

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Solution

The fourth proportional to 419,840.73, 579,358.29 and 238,527.48 is: 329,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,840.73 : 579,358.29 = 238,527.48 : x
  2. Step 2: Convert to fraction form
    419,840.73/579,358.29 = 238,527.48/x
  3. Step 3: Cross multiply
    419,840.73x = 579,358.29 × 238,527.48
  4. Step 4: Simplify right side
    419,840.73x = 138,192,872,930.81
  5. Step 5: Solve for x
    x = 138,192,872,930.81/419,840.73
  6. Step 6: Final answer
    x = 329,155.47

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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.