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Finding the Fourth Proportional to 277,078.96, 415,618.42 and 127,445.10

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Solution

The fourth proportional to 277,078.96, 415,618.42 and 127,445.10 is: 191,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,078.96 : 415,618.42 = 127,445.10 : x
  2. Step 2: Convert to fraction form
    277,078.96/415,618.42 = 127,445.10/x
  3. Step 3: Cross multiply
    277,078.96x = 415,618.42 × 127,445.10
  4. Step 4: Simplify right side
    277,078.96x = 52,968,530,780.13
  5. Step 5: Solve for x
    x = 52,968,530,780.13/277,078.96
  6. Step 6: Final answer
    x = 191,167.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.