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Finding the Fourth Proportional to 274,159.20, 411,238.80 and 211,874.40

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Solution

The fourth proportional to 274,159.20, 411,238.80 and 211,874.40 is: 317,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,159.20 : 411,238.80 = 211,874.40 : x
  2. Step 2: Convert to fraction form
    274,159.20/411,238.80 = 211,874.40/x
  3. Step 3: Cross multiply
    274,159.20x = 411,238.80 × 211,874.40
  4. Step 4: Simplify right side
    274,159.20x = 87,130,974,006.72
  5. Step 5: Solve for x
    x = 87,130,974,006.72/274,159.20
  6. Step 6: Final answer
    x = 317,811.60

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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.