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Finding the Fourth Proportional to 276,873.94, 415,334.33 and 77,194.50

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Solution

The fourth proportional to 276,873.94, 415,334.33 and 77,194.50 is: 115,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,873.94 : 415,334.33 = 77,194.50 : x
  2. Step 2: Convert to fraction form
    276,873.94/415,334.33 = 77,194.50/x
  3. Step 3: Cross multiply
    276,873.94x = 415,334.33 × 77,194.50
  4. Step 4: Simplify right side
    276,873.94x = 32,061,525,937.19
  5. Step 5: Solve for x
    x = 32,061,525,937.19/276,873.94
  6. Step 6: Final answer
    x = 115,798.28

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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.