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Finding the Fourth Proportional to 277,790.31, 415,498.82 and 231,919.20

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Solution

The fourth proportional to 277,790.31, 415,498.82 and 231,919.20 is: 346,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,790.31 : 415,498.82 = 231,919.20 : x
  2. Step 2: Convert to fraction form
    277,790.31/415,498.82 = 231,919.20/x
  3. Step 3: Cross multiply
    277,790.31x = 415,498.82 × 231,919.20
  4. Step 4: Simplify right side
    277,790.31x = 96,362,152,775.75
  5. Step 5: Solve for x
    x = 96,362,152,775.75/277,790.31
  6. Step 6: Final answer
    x = 346,888.10

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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.