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Finding the Fourth Proportional to 278,205.90, 383,924.59 and 150,881.60

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Solution

The fourth proportional to 278,205.90, 383,924.59 and 150,881.60 is: 208,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,205.90 : 383,924.59 = 150,881.60 : x
  2. Step 2: Convert to fraction form
    278,205.90/383,924.59 = 150,881.60/x
  3. Step 3: Cross multiply
    278,205.90x = 383,924.59 × 150,881.60
  4. Step 4: Simplify right side
    278,205.90x = 57,927,156,418.54
  5. Step 5: Solve for x
    x = 57,927,156,418.54/278,205.90
  6. Step 6: Final answer
    x = 208,216.85

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1.5x scale

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.