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Finding the Fourth Proportional to 277,830, 383,405.40 and 150,505.56

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Solution

The fourth proportional to 277,830, 383,405.40 and 150,505.56 is: 207,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,830 : 383,405.40 = 150,505.56 : x
  2. Step 2: Convert to fraction form
    277,830/383,405.40 = 150,505.56/x
  3. Step 3: Cross multiply
    277,830x = 383,405.40 × 150,505.56
  4. Step 4: Simplify right side
    277,830x = 57,704,644,434.02
  5. Step 5: Solve for x
    x = 57,704,644,434.02/277,830
  6. Step 6: Final answer
    x = 207,697.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.