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Finding the Fourth Proportional to 276,449.64, 414,597.76 and 118,643

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Solution

The fourth proportional to 276,449.64, 414,597.76 and 118,643 is: 177,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,449.64 : 414,597.76 = 118,643 : x
  2. Step 2: Convert to fraction form
    276,449.64/414,597.76 = 118,643/x
  3. Step 3: Cross multiply
    276,449.64x = 414,597.76 × 118,643
  4. Step 4: Simplify right side
    276,449.64x = 49,189,122,039.68
  5. Step 5: Solve for x
    x = 49,189,122,039.68/276,449.64
  6. Step 6: Final answer
    x = 177,931.58

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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.