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Finding the Fourth Proportional to 340,085.67, 510,046.40 and 100,134.35

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Solution

The fourth proportional to 340,085.67, 510,046.40 and 100,134.35 is: 150,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,085.67 : 510,046.40 = 100,134.35 : x
  2. Step 2: Convert to fraction form
    340,085.67/510,046.40 = 100,134.35/x
  3. Step 3: Cross multiply
    340,085.67x = 510,046.40 × 100,134.35
  4. Step 4: Simplify right side
    340,085.67x = 51,073,161,682.94
  5. Step 5: Solve for x
    x = 51,073,161,682.94/340,085.67
  6. Step 6: Final answer
    x = 150,177.34

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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.