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Finding the Fourth Proportional to 277,428.56, 415,810.46 and 142,353.97

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Solution

The fourth proportional to 277,428.56, 415,810.46 and 142,353.97 is: 213,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,428.56 : 415,810.46 = 142,353.97 : x
  2. Step 2: Convert to fraction form
    277,428.56/415,810.46 = 142,353.97/x
  3. Step 3: Cross multiply
    277,428.56x = 415,810.46 × 142,353.97
  4. Step 4: Simplify right side
    277,428.56x = 59,192,271,403.82
  5. Step 5: Solve for x
    x = 59,192,271,403.82/277,428.56
  6. Step 6: Final answer
    x = 213,360.41

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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.