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Finding the Fourth Proportional to 491,350.36, 737,034.78 and 154,384.84

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Solution

The fourth proportional to 491,350.36, 737,034.78 and 154,384.84 is: 231,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,350.36 : 737,034.78 = 154,384.84 : x
  2. Step 2: Convert to fraction form
    491,350.36/737,034.78 = 154,384.84/x
  3. Step 3: Cross multiply
    491,350.36x = 737,034.78 × 154,384.84
  4. Step 4: Simplify right side
    491,350.36x = 113,786,996,584.74
  5. Step 5: Solve for x
    x = 113,786,996,584.74/491,350.36
  6. Step 6: Final answer
    x = 231,580.16

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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.