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Finding the Fourth Proportional to 277,697.79, 416,566.13 and 137,418.75

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Solution

The fourth proportional to 277,697.79, 416,566.13 and 137,418.75 is: 206,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.79 : 416,566.13 = 137,418.75 : x
  2. Step 2: Convert to fraction form
    277,697.79/416,566.13 = 137,418.75/x
  3. Step 3: Cross multiply
    277,697.79x = 416,566.13 × 137,418.75
  4. Step 4: Simplify right side
    277,697.79x = 57,243,996,189.84
  5. Step 5: Solve for x
    x = 57,243,996,189.84/277,697.79
  6. Step 6: Final answer
    x = 206,137.74

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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.