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Finding the Fourth Proportional to 340,282.64, 510,423.97 and 127,067.20

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Solution

The fourth proportional to 340,282.64, 510,423.97 and 127,067.20 is: 190,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,282.64 : 510,423.97 = 127,067.20 : x
  2. Step 2: Convert to fraction form
    340,282.64/510,423.97 = 127,067.20/x
  3. Step 3: Cross multiply
    340,282.64x = 510,423.97 × 127,067.20
  4. Step 4: Simplify right side
    340,282.64x = 64,858,143,087.06
  5. Step 5: Solve for x
    x = 64,858,143,087.06/340,282.64
  6. Step 6: Final answer
    x = 190,600.80

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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.