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Finding the Fourth Proportional to 611,137.56, 916,768.98 and 211,778.04

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Solution

The fourth proportional to 611,137.56, 916,768.98 and 211,778.04 is: 317,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,137.56 : 916,768.98 = 211,778.04 : x
  2. Step 2: Convert to fraction form
    611,137.56/916,768.98 = 211,778.04/x
  3. Step 3: Cross multiply
    611,137.56x = 916,768.98 × 211,778.04
  4. Step 4: Simplify right side
    611,137.56x = 194,151,537,717.20
  5. Step 5: Solve for x
    x = 194,151,537,717.20/611,137.56
  6. Step 6: Final answer
    x = 317,688.77

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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.