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Finding the Fourth Proportional to 276,323.24, 414,484.82 and 76,643.63

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Solution

The fourth proportional to 276,323.24, 414,484.82 and 76,643.63 is: 114,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,323.24 : 414,484.82 = 76,643.63 : x
  2. Step 2: Convert to fraction form
    276,323.24/414,484.82 = 76,643.63/x
  3. Step 3: Cross multiply
    276,323.24x = 414,484.82 × 76,643.63
  4. Step 4: Simplify right side
    276,323.24x = 31,767,619,303.88
  5. Step 5: Solve for x
    x = 31,767,619,303.88/276,323.24
  6. Step 6: Final answer
    x = 114,965.43

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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.