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Finding the Fourth Proportional to 611,149.80, 916,736.54 and 211,803.72

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Solution

The fourth proportional to 611,149.80, 916,736.54 and 211,803.72 is: 317,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,149.80 : 916,736.54 = 211,803.72 : x
  2. Step 2: Convert to fraction form
    611,149.80/916,736.54 = 211,803.72/x
  3. Step 3: Cross multiply
    611,149.80x = 916,736.54 × 211,803.72
  4. Step 4: Simplify right side
    611,149.80x = 194,168,209,431.93
  5. Step 5: Solve for x
    x = 194,168,209,431.93/611,149.80
  6. Step 6: Final answer
    x = 317,709.68

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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.