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Finding the Fourth Proportional to 276,643.80, 414,965.70 and 89,655.30

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Solution

The fourth proportional to 276,643.80, 414,965.70 and 89,655.30 is: 134,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,643.80 : 414,965.70 = 89,655.30 : x
  2. Step 2: Convert to fraction form
    276,643.80/414,965.70 = 89,655.30/x
  3. Step 3: Cross multiply
    276,643.80x = 414,965.70 × 89,655.30
  4. Step 4: Simplify right side
    276,643.80x = 37,203,874,323.21
  5. Step 5: Solve for x
    x = 37,203,874,323.21/276,643.80
  6. Step 6: Final answer
    x = 134,482.95

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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.