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Finding the Fourth Proportional to 276,950.31, 415,495.49 and 77,270.59

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Solution

The fourth proportional to 276,950.31, 415,495.49 and 77,270.59 is: 115,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,950.31 : 415,495.49 = 77,270.59 : x
  2. Step 2: Convert to fraction form
    276,950.31/415,495.49 = 77,270.59/x
  3. Step 3: Cross multiply
    276,950.31x = 415,495.49 × 77,270.59
  4. Step 4: Simplify right side
    276,950.31x = 32,105,581,654.64
  5. Step 5: Solve for x
    x = 32,105,581,654.64/276,950.31
  6. Step 6: Final answer
    x = 115,925.42

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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.