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Finding the Fourth Proportional to 271,911.80, 407,867.70 and 84,923.30

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Solution

The fourth proportional to 271,911.80, 407,867.70 and 84,923.30 is: 127,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,911.80 : 407,867.70 = 84,923.30 : x
  2. Step 2: Convert to fraction form
    271,911.80/407,867.70 = 84,923.30/x
  3. Step 3: Cross multiply
    271,911.80x = 407,867.70 × 84,923.30
  4. Step 4: Simplify right side
    271,911.80x = 34,637,471,047.41
  5. Step 5: Solve for x
    x = 34,637,471,047.41/271,911.80
  6. Step 6: Final answer
    x = 127,384.95

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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.