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Finding the Fourth Proportional to 334,137.80, 501,206.70 and 120,905.30

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Solution

The fourth proportional to 334,137.80, 501,206.70 and 120,905.30 is: 181,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,137.80 : 501,206.70 = 120,905.30 : x
  2. Step 2: Convert to fraction form
    334,137.80/501,206.70 = 120,905.30/x
  3. Step 3: Cross multiply
    334,137.80x = 501,206.70 × 120,905.30
  4. Step 4: Simplify right side
    334,137.80x = 60,598,546,425.51
  5. Step 5: Solve for x
    x = 60,598,546,425.51/334,137.80
  6. Step 6: Final answer
    x = 181,357.95

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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.