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Finding the Fourth Proportional to 523,154, 784,738.30 and 149,177

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Solution

The fourth proportional to 523,154, 784,738.30 and 149,177 is: 223,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,154 : 784,738.30 = 149,177 : x
  2. Step 2: Convert to fraction form
    523,154/784,738.30 = 149,177/x
  3. Step 3: Cross multiply
    523,154x = 784,738.30 × 149,177
  4. Step 4: Simplify right side
    523,154x = 117,064,905,379.10
  5. Step 5: Solve for x
    x = 117,064,905,379.10/523,154
  6. Step 6: Final answer
    x = 223,767.58

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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.