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Finding the Fourth Proportional to 491,830.20, 737,771.63 and 154,897.09

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Solution

The fourth proportional to 491,830.20, 737,771.63 and 154,897.09 is: 232,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,830.20 : 737,771.63 = 154,897.09 : x
  2. Step 2: Convert to fraction form
    491,830.20/737,771.63 = 154,897.09/x
  3. Step 3: Cross multiply
    491,830.20x = 737,771.63 × 154,897.09
  4. Step 4: Simplify right side
    491,830.20x = 114,278,678,571.56
  5. Step 5: Solve for x
    x = 114,278,678,571.56/491,830.20
  6. Step 6: Final answer
    x = 232,353.93

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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.