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Finding the Fourth Proportional to 278,240.34, 383,973.84 and 150,915.90

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Solution

The fourth proportional to 278,240.34, 383,973.84 and 150,915.90 is: 208,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,240.34 : 383,973.84 = 150,915.90 : x
  2. Step 2: Convert to fraction form
    278,240.34/383,973.84 = 150,915.90/x
  3. Step 3: Cross multiply
    278,240.34x = 383,973.84 × 150,915.90
  4. Step 4: Simplify right side
    278,240.34x = 57,947,757,640.06
  5. Step 5: Solve for x
    x = 57,947,757,640.06/278,240.34
  6. Step 6: Final answer
    x = 208,265.12

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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.