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Finding the Fourth Proportional to 410,028.76, 615,039.48 and 129,546

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Solution

The fourth proportional to 410,028.76, 615,039.48 and 129,546 is: 194,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,028.76 : 615,039.48 = 129,546 : x
  2. Step 2: Convert to fraction form
    410,028.76/615,039.48 = 129,546/x
  3. Step 3: Cross multiply
    410,028.76x = 615,039.48 × 129,546
  4. Step 4: Simplify right side
    410,028.76x = 79,675,904,476.08
  5. Step 5: Solve for x
    x = 79,675,904,476.08/410,028.76
  6. Step 6: Final answer
    x = 194,317.84

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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.