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Finding the Fourth Proportional to 276,322.79, 414,484.14 and 76,643.17

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Solution

The fourth proportional to 276,322.79, 414,484.14 and 76,643.17 is: 114,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,322.79 : 414,484.14 = 76,643.17 : x
  2. Step 2: Convert to fraction form
    276,322.79/414,484.14 = 76,643.17/x
  3. Step 3: Cross multiply
    276,322.79x = 414,484.14 × 76,643.17
  4. Step 4: Simplify right side
    276,322.79x = 31,767,378,902.89
  5. Step 5: Solve for x
    x = 31,767,378,902.89/276,322.79
  6. Step 6: Final answer
    x = 114,964.75

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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.