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Finding the Fourth Proportional to 276,712.54, 415,068.92 and 213,624.77

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Solution

The fourth proportional to 276,712.54, 415,068.92 and 213,624.77 is: 320,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,712.54 : 415,068.92 = 213,624.77 : x
  2. Step 2: Convert to fraction form
    276,712.54/415,068.92 = 213,624.77/x
  3. Step 3: Cross multiply
    276,712.54x = 415,068.92 × 213,624.77
  4. Step 4: Simplify right side
    276,712.54x = 88,668,999,425.68
  5. Step 5: Solve for x
    x = 88,668,999,425.68/276,712.54
  6. Step 6: Final answer
    x = 320,437.23

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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.