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Finding the Fourth Proportional to 340,588.52, 510,975 and 127,378.09

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Solution

The fourth proportional to 340,588.52, 510,975 and 127,378.09 is: 191,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,588.52 : 510,975 = 127,378.09 : x
  2. Step 2: Convert to fraction form
    340,588.52/510,975 = 127,378.09/x
  3. Step 3: Cross multiply
    340,588.52x = 510,975 × 127,378.09
  4. Step 4: Simplify right side
    340,588.52x = 65,087,019,537.75
  5. Step 5: Solve for x
    x = 65,087,019,537.75/340,588.52
  6. Step 6: Final answer
    x = 191,101.62

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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.