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Finding the Fourth Proportional to 274,439.58, 411,601.77 and 77,401.50

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Solution

The fourth proportional to 274,439.58, 411,601.77 and 77,401.50 is: 116,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,439.58 : 411,601.77 = 77,401.50 : x
  2. Step 2: Convert to fraction form
    274,439.58/411,601.77 = 77,401.50/x
  3. Step 3: Cross multiply
    274,439.58x = 411,601.77 × 77,401.50
  4. Step 4: Simplify right side
    274,439.58x = 31,858,594,400.66
  5. Step 5: Solve for x
    x = 31,858,594,400.66/274,439.58
  6. Step 6: Final answer
    x = 116,086.00

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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.