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Finding the Fourth Proportional to 402,735.96, 555,787.72 and 221,438.52

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Solution

The fourth proportional to 402,735.96, 555,787.72 and 221,438.52 is: 305,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,735.96 : 555,787.72 = 221,438.52 : x
  2. Step 2: Convert to fraction form
    402,735.96/555,787.72 = 221,438.52/x
  3. Step 3: Cross multiply
    402,735.96x = 555,787.72 × 221,438.52
  4. Step 4: Simplify right side
    402,735.96x = 123,072,810,150.97
  5. Step 5: Solve for x
    x = 123,072,810,150.97/402,735.96
  6. Step 6: Final answer
    x = 305,591.81

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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.