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Finding the Fourth Proportional to 276,394.50, 381,425.94 and 155,537.82

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Solution

The fourth proportional to 276,394.50, 381,425.94 and 155,537.82 is: 214,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,394.50 : 381,425.94 = 155,537.82 : x
  2. Step 2: Convert to fraction form
    276,394.50/381,425.94 = 155,537.82/x
  3. Step 3: Cross multiply
    276,394.50x = 381,425.94 × 155,537.82
  4. Step 4: Simplify right side
    276,394.50x = 59,326,159,199.05
  5. Step 5: Solve for x
    x = 59,326,159,199.05/276,394.50
  6. Step 6: Final answer
    x = 214,643.05

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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.