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Finding the Fourth Proportional to 278,839, 384,800.16 and 151,514.60

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Solution

The fourth proportional to 278,839, 384,800.16 and 151,514.60 is: 209,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,839 : 384,800.16 = 151,514.60 : x
  2. Step 2: Convert to fraction form
    278,839/384,800.16 = 151,514.60/x
  3. Step 3: Cross multiply
    278,839x = 384,800.16 × 151,514.60
  4. Step 4: Simplify right side
    278,839x = 58,302,842,322.34
  5. Step 5: Solve for x
    x = 58,302,842,322.34/278,839
  6. Step 6: Final answer
    x = 209,091.42

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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.