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Finding the Fourth Proportional to 309,955.66, 465,112.85 and 130,024.96

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Solution

The fourth proportional to 309,955.66, 465,112.85 and 130,024.96 is: 195,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,955.66 : 465,112.85 = 130,024.96 : x
  2. Step 2: Convert to fraction form
    309,955.66/465,112.85 = 130,024.96/x
  3. Step 3: Cross multiply
    309,955.66x = 465,112.85 × 130,024.96
  4. Step 4: Simplify right side
    309,955.66x = 60,476,279,716.74
  5. Step 5: Solve for x
    x = 60,476,279,716.74/309,955.66
  6. Step 6: Final answer
    x = 195,112.68

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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.