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Finding the Fourth Proportional to 276,712.29, 415,068.54 and 213,624.51

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Solution

The fourth proportional to 276,712.29, 415,068.54 and 213,624.51 is: 320,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,712.29 : 415,068.54 = 213,624.51 : x
  2. Step 2: Convert to fraction form
    276,712.29/415,068.54 = 213,624.51/x
  3. Step 3: Cross multiply
    276,712.29x = 415,068.54 × 213,624.51
  4. Step 4: Simplify right side
    276,712.29x = 88,668,813,473.92
  5. Step 5: Solve for x
    x = 88,668,813,473.92/276,712.29
  6. Step 6: Final answer
    x = 320,436.85

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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.