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Finding the Fourth Proportional to 276,317.76, 414,476.64 and 76,638.15

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Solution

The fourth proportional to 276,317.76, 414,476.64 and 76,638.15 is: 114,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,317.76 : 414,476.64 = 76,638.15 : x
  2. Step 2: Convert to fraction form
    276,317.76/414,476.64 = 76,638.15/x
  3. Step 3: Cross multiply
    276,317.76x = 414,476.64 × 76,638.15
  4. Step 4: Simplify right side
    276,317.76x = 31,764,722,907.82
  5. Step 5: Solve for x
    x = 31,764,722,907.82/276,317.76
  6. Step 6: Final answer
    x = 114,957.23

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1.5x scale

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.