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Finding the Fourth Proportional to 378,898.56, 522,846.90 and 242,692.20

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Solution

The fourth proportional to 378,898.56, 522,846.90 and 242,692.20 is: 334,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,898.56 : 522,846.90 = 242,692.20 : x
  2. Step 2: Convert to fraction form
    378,898.56/522,846.90 = 242,692.20/x
  3. Step 3: Cross multiply
    378,898.56x = 522,846.90 × 242,692.20
  4. Step 4: Simplify right side
    378,898.56x = 126,890,864,424.18
  5. Step 5: Solve for x
    x = 126,890,864,424.18/378,898.56
  6. Step 6: Final answer
    x = 334,894.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.