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Finding the Fourth Proportional to 277,324.40, 415,854.84 and 136,919

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Solution

The fourth proportional to 277,324.40, 415,854.84 and 136,919 is: 205,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,324.40 : 415,854.84 = 136,919 : x
  2. Step 2: Convert to fraction form
    277,324.40/415,854.84 = 136,919/x
  3. Step 3: Cross multiply
    277,324.40x = 415,854.84 × 136,919
  4. Step 4: Simplify right side
    277,324.40x = 56,938,428,837.96
  5. Step 5: Solve for x
    x = 56,938,428,837.96/277,324.40
  6. Step 6: Final answer
    x = 205,313.45

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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.