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Finding the Fourth Proportional to 277,115.58, 382,421.25 and 149,790.87

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Solution

The fourth proportional to 277,115.58, 382,421.25 and 149,790.87 is: 206,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,115.58 : 382,421.25 = 149,790.87 : x
  2. Step 2: Convert to fraction form
    277,115.58/382,421.25 = 149,790.87/x
  3. Step 3: Cross multiply
    277,115.58x = 382,421.25 × 149,790.87
  4. Step 4: Simplify right side
    277,115.58x = 57,283,211,743.99
  5. Step 5: Solve for x
    x = 57,283,211,743.99/277,115.58
  6. Step 6: Final answer
    x = 206,712.35

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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.