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Finding the Fourth Proportional to 377,359.68, 520,757.64 and 205,277.52

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Solution

The fourth proportional to 377,359.68, 520,757.64 and 205,277.52 is: 283,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,359.68 : 520,757.64 = 205,277.52 : x
  2. Step 2: Convert to fraction form
    377,359.68/520,757.64 = 205,277.52/x
  3. Step 3: Cross multiply
    377,359.68x = 520,757.64 × 205,277.52
  4. Step 4: Simplify right side
    377,359.68x = 106,899,836,860.25
  5. Step 5: Solve for x
    x = 106,899,836,860.25/377,359.68
  6. Step 6: Final answer
    x = 283,283.67

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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.