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Finding the Fourth Proportional to 419,540.40, 578,966.40 and 228,548.88

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Solution

The fourth proportional to 419,540.40, 578,966.40 and 228,548.88 is: 315,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,540.40 : 578,966.40 = 228,548.88 : x
  2. Step 2: Convert to fraction form
    419,540.40/578,966.40 = 228,548.88/x
  3. Step 3: Cross multiply
    419,540.40x = 578,966.40 × 228,548.88
  4. Step 4: Simplify right side
    419,540.40x = 132,322,122,277.63
  5. Step 5: Solve for x
    x = 132,322,122,277.63/419,540.40
  6. Step 6: Final answer
    x = 315,397.81

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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.