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Finding the Fourth Proportional to 278,735.40, 384,640.38 and 151,410.78

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Solution

The fourth proportional to 278,735.40, 384,640.38 and 151,410.78 is: 208,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,735.40 : 384,640.38 = 151,410.78 : x
  2. Step 2: Convert to fraction form
    278,735.40/384,640.38 = 151,410.78/x
  3. Step 3: Cross multiply
    278,735.40x = 384,640.38 × 151,410.78
  4. Step 4: Simplify right side
    278,735.40x = 58,238,699,955.30
  5. Step 5: Solve for x
    x = 58,238,699,955.30/278,735.40
  6. Step 6: Final answer
    x = 208,939.02

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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.